2131315200 has 480 divisors, whose sum is σ = 8950677120. Its totient is φ = 486604800.

The previous prime is 2131315187. The next prime is 2131315213. The reversal of 2131315200 is 25131312.

2131315200 is a `hidden beast` number, since 2 + 13 + 131 + 520 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2131315187) and next prime (2131315213).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 2418760 + ... + 2419640.

It is an arithmetic number, because the mean of its divisors is an integer number (18647244).

Almost surely, 2^2131315200 is an apocalyptic number.

2131315200 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 2131315200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4475338560).

2131315200 is an abundant number, since it is smaller than the sum of its proper divisors (6819361920).

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

2131315200 is an equidigital number, since it uses as much as digits as its factorization.

2131315200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 925 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2131315200 is about 46166.1694317386. The cubic root of 2131315200 is about 1286.9131167542.

Adding to 2131315200 its reverse (25131312), we get a palindrome (2156446512).

The spelling of 2131315200 in words is "two billion, one hundred thirty-one million, three hundred fifteen thousand, two hundred".