2516413222400 has 960 divisors, whose sum is σ = 8317334513664. Its totient is φ = 730398720000.

The previous prime is 2516413222399. The next prime is 2516413222409. The reversal of 2516413222400 is 42223146152.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2516413222409) 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, 1692274457 + ... + 1692275943.

Almost surely, 2^{2516413222400} is an apocalyptic number.

2516413222400 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 2516413222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4158667256832).

2516413222400 is an abundant number, since it is smaller than the sum of its proper divisors (5800921291264).

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

2516413222400 is a wasteful number, since it uses less digits than its factorization.

2516413222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1651 (or 1630 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 2516413222400 its reverse (42223146152), we get a palindrome (2558636368552).

The spelling of 2516413222400 in words is "two trillion, five hundred sixteen billion, four hundred thirteen million, two hundred twenty-two thousand, four hundred".