2562670656 has 448 divisors, whose sum is σ = 9513011200. Its totient is φ = 658409472.

The previous prime is 2562670639. The next prime is 2562670667. The reversal of 2562670656 is 6560762652.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2562670656² = 13134561782246940672, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6761475 + ... + 6761853.

It is an arithmetic number, because the mean of its divisors is an integer number (21234400).

Almost surely, 2^2562670656 is an apocalyptic number.

2562670656 is a gapful number since it is divisible by the number (26) 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 2562670656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4756505600).

2562670656 is an abundant number, since it is smaller than the sum of its proper divisors (6950340544).

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

2562670656 is a wasteful number, since it uses less digits than its factorization.

2562670656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The square root of 2562670656 is about 50622.8274200484. The cubic root of 2562670656 is about 1368.4562959236.

The spelling of 2562670656 in words is "two billion, five hundred sixty-two million, six hundred seventy thousand, six hundred fifty-six".