2131963200 has 336 divisors, whose sum is σ = 8231794560. Its totient is φ = 534896640.

The previous prime is 2131963151. The next prime is 2131963231. The reversal of 2131963200 is 23691312.

2131963200 is a `hidden beast` number, since 2 + 13 + 19 + 632 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 732949 + ... + 735851.

Almost surely, 2^2131963200 is an apocalyptic number.

2131963200 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 2131963200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4115897280).

2131963200 is an abundant number, since it is smaller than the sum of its proper divisors (6099831360).

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

2131963200 is a wasteful number, since it uses less digits than its factorization.

2131963200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2951 (or 2930 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The square root of 2131963200 is about 46173.1870245059. The cubic root of 2131963200 is about 1287.0435268721.

The spelling of 2131963200 in words is "two billion, one hundred thirty-one million, nine hundred sixty-three thousand, two hundred".