2516252884992 has 1368 divisors, whose sum is σ = 9906256064640. Its totient is φ = 619173642240.

The previous prime is 2516252884909. The next prime is 2516252885023. The reversal of 2516252884992 is 2994882526152.

It is a happy number.

2516252884992 is a `hidden beast` number, since 2 + 5 + 1 + 62 + 5 + 2 + 88 + 499 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1368).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 132434362359 + ... + 132434362377.

Almost surely, 2^{2516252884992} is an apocalyptic number.

2516252884992 is a gapful number since it is divisible by the number (22) 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 2516252884992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4953128032320).

2516252884992 is an abundant number, since it is smaller than the sum of its proper divisors (7390003179648).

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

2516252884992 is an frugal number, since it uses more digits than its factorization.

2516252884992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 42 counting only the distinct ones).

The product of its digits is 49766400, while the sum is 63.

The spelling of 2516252884992 in words is "two trillion, five hundred sixteen billion, two hundred fifty-two million, eight hundred eighty-four thousand, nine hundred ninety-two".