2313610000 has 225 divisors, whose sum is σ = 6233872491. Its totient is φ = 831168000.

The previous prime is 2313609989. The next prime is 2313610009. The reversal of 2313610000 is 163132.

The square root of 2313610000 is 48100.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 22 ways, for example, as 2204114704 + 109495296 = 46948^2 + 10464^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2313610009) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 62529982 + ... + 62530018.

Almost surely, 2^2313610000 is an apocalyptic number.

2313610000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2313610000 is the 48100-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2313610000

2313610000 is an abundant number, since it is smaller than the sum of its proper divisors (3920262491).

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

2313610000 is an equidigital number, since it uses as much as digits as its factorization.

2313610000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The cubic root of 2313610000 is about 1322.6046672282.

Multiplying 2313610000 by its sum of digits (16), we get a square (37017760000 = 192400²).

2313610000 divided by its sum of digits (16) gives a square (144600625 = 12025²).

Adding to 2313610000 its reverse (163132), we get a palindrome (2313773132).

The spelling of 2313610000 in words is "two billion, three hundred thirteen million, six hundred ten thousand".