2516981732400 has 60 divisors (see below), whose sum is σ = 8062731486632. Its totient is φ = 671195128320.

The previous prime is 2516981732381. The next prime is 2516981732401. The reversal of 2516981732400 is 42371896152.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2516981732400.

It is not an unprimeable number, because it can be changed into a prime (2516981732401) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 1048741189 + ... + 1048743588.

It is a 1-persistent number, because it is pandigital, but 2⋅2516981732400 = 5033963464800 is not.

Almost surely, 2^{2516981732400} is an apocalyptic number.

2516981732400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2516981732400 is an abundant number, since it is smaller than the sum of its proper divisors (5545749754232).

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

2516981732400 is a wasteful number, since it uses less digits than its factorization.

2516981732400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2097484798 (or 2097484787 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The spelling of 2516981732400 in words is "two trillion, five hundred sixteen billion, nine hundred eighty-one million, seven hundred thirty-two thousand, four hundred".