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2680418304 = 212352693
BaseRepresentation
bin1001111111000011…
…1111000000000000
320220210200100200000
42133300333000000
520442141341204
61121550400000
7123265115424
oct23760770000
96823610600
102680418304
111156031a43
12629800000
1333941b845
141b5db6b84
1510a4b8039
hex9fc3f000

2680418304 has 156 divisors (see below), whose sum is σ = 8032225656. Its totient is φ = 893140992.

The previous prime is 2680418267. The next prime is 2680418311. The reversal of 2680418304 is 4038140862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 993982 + ... + 996674.

It is an arithmetic number, because the mean of its divisors is an integer number (51488626).

Almost surely, 22680418304 is an apocalyptic number.

2680418304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2680418304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4016112828).

2680418304 is an abundant number, since it is smaller than the sum of its proper divisors (5351807352).

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

2680418304 is an frugal number, since it uses more digits than its factorization.

2680418304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2732 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2680418304 is about 51772.7563878919. The cubic root of 2680418304 is about 1389.1021761016.

The spelling of 2680418304 in words is "two billion, six hundred eighty million, four hundred eighteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 2693 3072 3456 3888 4096 4608 5184 5386 6144 6912 7776 8079 9216 10368 10772 12288 13824 15552 16158 18432 20736 21544 24237 27648 31104 32316 36864 41472 43088 48474 55296 62208 64632 72711 82944 86176 96948 110592 124416 129264 145422 165888 172352 193896 218133 248832 258528 290844 331776 344704 387792 436266 497664 517056 581688 654399 689408 775584 872532 995328 1034112 1163376 1308798 1378816 1551168 1745064 2068224 2326752 2617596 2757632 3102336 3490128 4136448 4653504 5235192 5515264 6204672 6980256 8272896 9307008 10470384 11030528 12409344 13960512 16545792 18614016 20940768 24818688 27921024 33091584 37228032 41881536 49637376 55842048 74456064 83763072 99274752 111684096 148912128 167526144 223368192 297824256 335052288 446736384 670104576 893472768 1340209152 2680418304