2131515422400 has 672 divisors, whose sum is σ = 8616045760000. Its totient is φ = 449251246080.

The previous prime is 2131515422383. The next prime is 2131515422401. The reversal of 2131515422400 is 42245151312.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (2131515422401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 545561247 + ... + 545565153.

Almost surely, 2^{2131515422400} is an apocalyptic number.

2131515422400 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 2131515422400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4308022880000).

2131515422400 is an abundant number, since it is smaller than the sum of its proper divisors (6484530337600).

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

2131515422400 is a wasteful number, since it uses less digits than its factorization.

2131515422400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5201 (or 5186 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 2131515422400 in words is "two trillion, one hundred thirty-one billion, five hundred fifteen million, four hundred twenty-two thousand, four hundred".