2315083971600 has 675 divisors, whose sum is σ = 8494536006957. Its totient is φ = 603844450560.

The previous prime is 2315083971517. The next prime is 2315083971647. The reversal of 2315083971600 is 61793805132.

The square root of 2315083971600 is 1521540.

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

2315083971600 is a `hidden beast` number, since 2 + 3 + 1 + 5 + 0 + 8 + 39 + 7 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 833430229776 + 1481653741824 = 912924^2 + 1217232^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a super-2 number, since 2×2315083971600² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21636298747 + ... + 21636298853.

Almost surely, 2^{2315083971600} is an apocalyptic number.

2315083971600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2315083971600 is the 1521540-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2315083971600

2315083971600 is an abundant number, since it is smaller than the sum of its proper divisors (6179452035357).

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

2315083971600 is an equidigital number, since it uses as much as digits as its factorization.

2315083971600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 196 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 2315083971600 in words is "two trillion, three hundred fifteen billion, eighty-three million, nine hundred seventy-one thousand, six hundred".