2131972752 has 200 divisors, whose sum is σ = 6924251264. Its totient is φ = 561883392.

The previous prime is 2131972727. The next prime is 2131972783. The reversal of 2131972752 is 2572791312.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2131972752.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1497513 + ... + 1498935.

Almost surely, 2^2131972752 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 2131972752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3462125632).

2131972752 is an abundant number, since it is smaller than the sum of its proper divisors (4792278512).

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

2131972752 is a wasteful number, since it uses less digits than its factorization.

2131972752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1475 (or 1448 counting only the distinct ones).

The product of its digits is 52920, while the sum is 39.

The square root of 2131972752 is about 46173.2904610447. The cubic root of 2131972752 is about 1287.0454490162.

The spelling of 2131972752 in words is "two billion, one hundred thirty-one million, nine hundred seventy-two thousand, seven hundred fifty-two".