2561058816 has 48 divisors (see below), whose sum is σ = 6827839200. Its totient is φ = 853684224.

The previous prime is 2561058793. The next prime is 2561058883. The reversal of 2561058816 is 6188501652.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×2561058816² = 13118044518022643712, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 202276 + ... + 214563.

It is an arithmetic number, because the mean of its divisors is an integer number (142246650).

Almost surely, 2^2561058816 is an apocalyptic number.

It is an amenable number.

2561058816 is an abundant number, since it is smaller than the sum of its proper divisors (4266780384).

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

2561058816 is an equidigital number, since it uses as much as digits as its factorization.

2561058816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416864 (or 416844 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 42.

The square root of 2561058816 is about 50606.9048253299. The cubic root of 2561058816 is about 1368.1693302929.

The spelling of 2561058816 in words is "two billion, five hundred sixty-one million, fifty-eight thousand, eight hundred sixteen".