2102564640 has 96 divisors (see below), whose sum is σ = 7225194816. Its totient is φ = 509711360.

The previous prime is 2102564621. The next prime is 2102564687. The reversal of 2102564640 is 464652012.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2102564598 and 2102564607.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 193827 + ... + 204386.

It is an arithmetic number, because the mean of its divisors is an integer number (75262446).

Almost surely, 2^2102564640 is an apocalyptic number.

2102564640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102564640 is an abundant number, since it is smaller than the sum of its proper divisors (5122630176).

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

2102564640 is a wasteful number, since it uses less digits than its factorization.

2102564640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398242 (or 398234 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2102564640 is about 45853.7309278100. The cubic root of 2102564640 is about 1281.1002583994.

The spelling of 2102564640 in words is "two billion, one hundred two million, five hundred sixty-four thousand, six hundred forty".