2102140887624 has 64 divisors (see below), whose sum is σ = 5839634304000. Its totient is φ = 700671142080.

The previous prime is 2102140887551. The next prime is 2102140887629. The reversal of 2102140887624 is 4267880412012.

2102140887624 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 14 + 0 + 8 + 8 + 7 + 624 = 666.

It is a super-2 number, since 2×2102140887624² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2102140887624.

It is not an unprimeable number, because it can be changed into a prime (2102140887629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3381337 + ... + 3954455.

It is an arithmetic number, because the mean of its divisors is an integer number (91244286000).

Almost surely, 2^{2102140887624} is an apocalyptic number.

2102140887624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2102140887624 is an abundant number, since it is smaller than the sum of its proper divisors (3737493416376).

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

2102140887624 is a wasteful number, since it uses less digits than its factorization.

2102140887624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590115 (or 590105 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2102140887624 in words is "two trillion, one hundred two billion, one hundred forty million, eight hundred eighty-seven thousand, six hundred twenty-four".