2102656320 has 280 divisors, whose sum is σ = 7806927744. Its totient is φ = 536177664.

The previous prime is 2102656319. The next prime is 2102656349. The reversal of 2102656320 is 236562012.

2102656320 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 656 + 3 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 594397 + ... + 597923.

Almost surely, 2^2102656320 is an apocalyptic number.

2102656320 is a gapful number since it is divisible by the number (20) 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 2102656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3903463872).

2102656320 is an abundant number, since it is smaller than the sum of its proper divisors (5704271424).

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

2102656320 is a wasteful number, since it uses less digits than its factorization.

2102656320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3579 (or 3560 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 2102656320 is about 45854.7306174619. The cubic root of 2102656320 is about 1281.1188784476.

The spelling of 2102656320 in words is "two billion, one hundred two million, six hundred fifty-six thousand, three hundred twenty".