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2580816256 = 2729695263
BaseRepresentation
bin1001100111010100…
…0010000110000000
320122212021001100021
42121311002012000
520241142110011
61104031503224
7120645401434
oct23165020600
96585231307
102580816256
1111048924a7
12600387b14
133218b7215
141a6a8a9c4
15101891471
hex99d42180

2580816256 has 32 divisors (see below), whose sum is σ = 5318769600. Its totient is φ = 1245909504.

The previous prime is 2580816253. The next prime is 2580816283. The reversal of 2580816256 is 6526180852.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×25808162562 = 13321225094467715072, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2580816253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 343920 + ... + 351343.

It is an arithmetic number, because the mean of its divisors is an integer number (166211550).

Almost surely, 22580816256 is an apocalyptic number.

It is an amenable number.

2580816256 is an abundant number, since it is smaller than the sum of its proper divisors (2737953344).

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

2580816256 is an equidigital number, since it uses as much as digits as its factorization.

2580816256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695306 (or 695294 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 43.

The square root of 2580816256 is about 50801.7347735291. The cubic root of 2580816256 is about 1371.6785960159.

The spelling of 2580816256 in words is "two billion, five hundred eighty million, eight hundred sixteen thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 695263 1390526 2781052 5562104 11124208 20162627 22248416 40325254 44496832 80650508 88993664 161301016 322602032 645204064 1290408128 2580816256