2562791616 has 672 divisors, whose sum is σ = 10118384640. Its totient is φ = 620421120.

The previous prime is 2562791603. The next prime is 2562791641. The reversal of 2562791616 is 6161972652.

2562791616 is a `hidden beast` number, since 2 + 5 + 6 + 27 + 9 + 1 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24881421 + ... + 24881523.

It is an arithmetic number, because the mean of its divisors is an integer number (15057120).

Almost surely, 2^2562791616 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 2562791616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059192320).

2562791616 is an abundant number, since it is smaller than the sum of its proper divisors (7555593024).

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

2562791616 is a wasteful number, since it uses less digits than its factorization.

2562791616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 143 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 2562791616 is about 50624.0221238890. The cubic root of 2562791616 is about 1368.4778263101.

The spelling of 2562791616 in words is "two billion, five hundred sixty-two million, seven hundred ninety-one thousand, six hundred sixteen".