2102982624 has 72 divisors (see below), whose sum is σ = 6295128840. Its totient is φ = 664098048.

The previous prime is 2102982611. The next prime is 2102982659. The reversal of 2102982624 is 4262892012.

2102982624 is a `hidden beast` number, since 2 + 1 + 0 + 29 + 8 + 2 + 624 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 186687 + ... + 197630.

It is an arithmetic number, because the mean of its divisors is an integer number (87432345).

Almost surely, 2^2102982624 is an apocalyptic number.

2102982624 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2102982624 is an abundant number, since it is smaller than the sum of its proper divisors (4192146216).

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

2102982624 is a wasteful number, since it uses less digits than its factorization.

2102982624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384352 (or 384341 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2102982624 is about 45858.2884983729. The cubic root of 2102982624 is about 1281.1851458301.

The spelling of 2102982624 in words is "two billion, one hundred two million, nine hundred eighty-two thousand, six hundred twenty-four".