2131395072 has 160 divisors (see below), whose sum is σ = 6023424000. Its totient is φ = 667865088.

The previous prime is 2131395067. The next prime is 2131395109. The reversal of 2131395072 is 2705931312.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5807433 + ... + 5807799.

It is an arithmetic number, because the mean of its divisors is an integer number (37646400).

Almost surely, 2^2131395072 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2131395072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3011712000).

2131395072 is an abundant number, since it is smaller than the sum of its proper divisors (3892028928).

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

2131395072 is a wasteful number, since it uses less digits than its factorization.

2131395072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 606 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 33.

The square root of 2131395072 is about 46167.0344726624. The cubic root of 2131395072 is about 1286.9291924369.

It can be divided in two parts, 213 and 1395072, that added together give a triangular number (1395285 = T₁₆₇₀).

The spelling of 2131395072 in words is "two billion, one hundred thirty-one million, three hundred ninety-five thousand, seventy-two".