2516313600000 has 936 divisors, whose sum is σ = 9433124522640. Its totient is φ = 670187520000.

The previous prime is 2516313599993. The next prime is 2516313600061. The reversal of 2516313600000 is 63136152.

2516313600000 is a `hidden beast` number, since 2 + 51 + 6 + 3 + 1 + 3 + 600 + 0 + 0 + 0 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3110399596 + ... + 3110400404.

It is an arithmetic number, because the mean of its divisors is an integer number (10078124490).

Almost surely, 2^{2516313600000} is an apocalyptic number.

2516313600000 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 2516313600000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4716562261320).

2516313600000 is an abundant number, since it is smaller than the sum of its proper divisors (6916810922640).

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

2516313600000 is an frugal number, since it uses more digits than its factorization.

2516313600000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 873 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 2516313600000 its reverse (63136152), we get a palindrome (2516376736152).

The spelling of 2516313600000 in words is "two trillion, five hundred sixteen billion, three hundred thirteen million, six hundred thousand".