2102652400 has 60 divisors (see below), whose sum is σ = 5057035704. Its totient is φ = 840160000.

The previous prime is 2102652397. The next prime is 2102652421. The reversal of 2102652400 is 42562012.

It is a super-2 number, since 2×2102652400² = 8842294230451520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 470175 + ... + 474625.

Almost surely, 2^2102652400 is an apocalyptic number.

2102652400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2102652400 is an abundant number, since it is smaller than the sum of its proper divisors (2954383304).

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

2102652400 is a wasteful number, since it uses less digits than its factorization.

2102652400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5650 (or 5639 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 2102652400 is about 45854.6878737605. The cubic root of 2102652400 is about 1281.1180823135.

The spelling of 2102652400 in words is "two billion, one hundred two million, six hundred fifty-two thousand, four hundred".