2109179520 has 768 divisors, whose sum is σ = 9041932800. Its totient is φ = 462938112.

The previous prime is 2109179509. The next prime is 2109179533. The reversal of 2109179520 is 259719012.

2109179520 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 39795814 + ... + 39795866.

It is an arithmetic number, because the mean of its divisors is an integer number (11773350).

Almost surely, 2^2109179520 is an apocalyptic number.

2109179520 is a gapful number since it is divisible by the number (20) 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 2109179520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4520966400).

2109179520 is an abundant number, since it is smaller than the sum of its proper divisors (6932753280).

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

2109179520 is a wasteful number, since it uses less digits than its factorization.

2109179520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2109179520 is about 45925.8045111896. The cubic root of 2109179520 is about 1282.4423420609.

The spelling of 2109179520 in words is "two billion, one hundred nine million, one hundred seventy-nine thousand, five hundred twenty".