2097516864 has 56 divisors (see below), whose sum is σ = 5553049600. Its totient is φ = 698747904.

The previous prime is 2097516833. The next prime is 2097516881. The reversal of 2097516864 is 4686157902.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 583617 + ... + 587199.

It is an arithmetic number, because the mean of its divisors is an integer number (99161600).

Almost surely, 2^2097516864 is an apocalyptic number.

2097516864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2097516864 is an abundant number, since it is smaller than the sum of its proper divisors (3455532736).

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

2097516864 is a wasteful number, since it uses less digits than its factorization.

2097516864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6647 (or 6637 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 2097516864 is about 45798.6557007954. The cubic root of 2097516864 is about 1280.0742274663.

The spelling of 2097516864 in words is "two billion, ninety-seven million, five hundred sixteen thousand, eight hundred sixty-four".