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2080800512 = 28741127223
BaseRepresentation
bin111110000000110…
…0111111100000000
312101000101121200122
41330001213330000
513230141104022
6542250435412
7102364340540
oct17401477400
95330347618
102080800512
1197861524a
124a0a32b68
13272127c0b
1415a4cd320
15c2a23742
hex7c067f00

2080800512 has 144 divisors (see below), whose sum is σ = 4922867712. Its totient is φ = 859299840.

The previous prime is 2080800503. The next prime is 2080800521. The reversal of 2080800512 is 2150080802.

It is an interprime number because it is at equal distance from previous prime (2080800503) and next prime (2080800521).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9330833 + ... + 9331055.

Almost surely, 22080800512 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 2080800512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461433856).

2080800512 is an abundant number, since it is smaller than the sum of its proper divisors (2842067200).

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

2080800512 is a wasteful number, since it uses less digits than its factorization.

2080800512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 26.

The square root of 2080800512 is about 45615.7923530875. The cubic root of 2080800512 is about 1276.6645974632.

It can be divided in two parts, 2080800 and 512, that multiplied together give a square (1065369600 = 326402).

The spelling of 2080800512 in words is "two billion, eighty million, eight hundred thousand, five hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 64 82 112 127 128 164 223 224 254 256 287 328 446 448 508 574 656 889 892 896 1016 1148 1312 1561 1778 1784 1792 2032 2296 2624 3122 3556 3568 4064 4592 5207 5248 6244 7112 7136 8128 9143 9184 10414 10496 12488 14224 14272 16256 18286 18368 20828 24976 28321 28448 28544 32512 36449 36572 36736 41656 49952 56642 56896 57088 64001 72898 73144 73472 83312 99904 113284 113792 128002 145796 146288 166624 198247 199808 226568 227584 256004 291592 292576 333248 396494 399616 453136 512008 583184 585152 666496 792988 906272 1024016 1161161 1166368 1170304 1332992 1585976 1812544 2048032 2322322 2332736 2340608 3171952 3625088 4096064 4644644 4665472 6343904 7250176 8128127 8192128 9289288 9330944 12687808 16256254 16384256 18578576 25375616 32512508 37157152 50751232 65025016 74314304 130050032 148628608 260100064 297257216 520200128 1040400256 2080800512