2139162624 has 144 divisors (see below), whose sum is σ = 6324318000. Its totient is φ = 696213504.

The previous prime is 2139162563. The next prime is 2139162647. The reversal of 2139162624 is 4262619312.

It is a happy number.

2139162624 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 1 + 626 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a nude number because it is divisible by every one of its digits.

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, 791227 + ... + 793925.

It is an arithmetic number, because the mean of its divisors is an integer number (43918875).

Almost surely, 2^2139162624 is an apocalyptic number.

2139162624 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 2139162624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3162159000).

2139162624 is an abundant number, since it is smaller than the sum of its proper divisors (4185155376).

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

2139162624 is a wasteful number, since it uses less digits than its factorization.

2139162624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2770 (or 2747 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 2139162624 is about 46251.0824089556. The cubic root of 2139162624 is about 1288.4906377629.

The spelling of 2139162624 in words is "two billion, one hundred thirty-nine million, one hundred sixty-two thousand, six hundred twenty-four".