2109138624 has 126 divisors (see below), whose sum is σ = 6378176220. Its totient is φ = 664526592.

The previous prime is 2109138613. The next prime is 2109138637. The reversal of 2109138624 is 4268319012.

2109138624 is a `hidden beast` number, since 2 + 10 + 9 + 13 + 8 + 624 = 666.

It is a super-2 number, since 2×2109138624² = 8896931470497226752, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4804197 + ... + 4804635.

Almost surely, 2^2109138624 is an apocalyptic number.

2109138624 is a gapful number since it is divisible by the number (24) 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 2109138624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3189088110).

2109138624 is an abundant number, since it is smaller than the sum of its proper divisors (4269037596).

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

2109138624 is an equidigital number, since it uses as much as digits as its factorization.

2109138624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 915 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 2109138624 is about 45925.3592691445. The cubic root of 2109138624 is about 1282.4340533559.

The spelling of 2109138624 in words is "two billion, one hundred nine million, one hundred thirty-eight thousand, six hundred twenty-four".