2131914400 has 288 divisors, whose sum is σ = 6621326208. Its totient is φ = 650956800.

The previous prime is 2131914391. The next prime is 2131914401. The reversal of 2131914400 is 44191312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2131914401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3264474 + ... + 3265126.

It is an arithmetic number, because the mean of its divisors is an integer number (22990716).

Almost surely, 2^2131914400 is an apocalyptic number.

2131914400 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 2131914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310663104).

2131914400 is an abundant number, since it is smaller than the sum of its proper divisors (4489411808).

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

2131914400 is a wasteful number, since it uses less digits than its factorization.

2131914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 25.

The square root of 2131914400 is about 46172.6585762613. The cubic root of 2131914400 is about 1287.0337067834.

The spelling of 2131914400 in words is "two billion, one hundred thirty-one million, nine hundred fourteen thousand, four hundred".