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2080685568 = 29313791319
BaseRepresentation
bin111110000000100…
…1011111000000000
312101000011210000110
41330001023320000
513230123414233
6542244151320
7102363351453
oct17401137000
95330153013
102080685568
11978546955
124a0998540
132720b77c0
1415a49d49a
15c29ee663
hex7c04be00

2080685568 has 160 divisors (see below), whose sum is σ = 6049612800. Its totient is φ = 631627776.

The previous prime is 2080685567. The next prime is 2080685569. The reversal of 2080685568 is 8655860802.

It is an interprime number because it is at equal distance from previous prime (2080685567) and next prime (2080685569).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2080685561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1576813 + ... + 1578131.

It is an arithmetic number, because the mean of its divisors is an integer number (37810080).

Almost surely, 22080685568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2080685568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3024806400).

2080685568 is an abundant number, since it is smaller than the sum of its proper divisors (3968927232).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2080685568 is a wasteful number, since it uses less digits than its factorization.

2080685568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1432 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 48.

The square root of 2080685568 is about 45614.5324211484. The cubic root of 2080685568 is about 1276.6410892610.

The spelling of 2080685568 in words is "two billion, eighty million, six hundred eighty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 79 96 104 128 156 158 192 208 237 256 312 316 384 416 474 512 624 632 768 832 948 1027 1248 1264 1319 1536 1664 1896 2054 2496 2528 2638 3081 3328 3792 3957 4108 4992 5056 5276 6162 6656 7584 7914 8216 9984 10112 10552 12324 15168 15828 16432 17147 19968 20224 21104 24648 30336 31656 32864 34294 40448 42208 49296 51441 60672 63312 65728 68588 84416 98592 102882 104201 121344 126624 131456 137176 168832 197184 205764 208402 253248 262912 274352 312603 337664 394368 411528 416804 506496 525824 548704 625206 675328 788736 823056 833608 1012992 1097408 1250412 1354613 1577472 1646112 1667216 2025984 2194816 2500824 2709226 3292224 3334432 4063839 4389632 5001648 5418452 6584448 6668864 8127678 8779264 10003296 10836904 13168896 13337728 16255356 20006592 21673808 26337792 26675456 32510712 40013184 43347616 53350912 65021424 80026368 86695232 130042848 160052736 173390464 260085696 346780928 520171392 693561856 1040342784 2080685568