2537991217152 has 336 divisors, whose sum is σ = 7663809074688. Its totient is φ = 807785594880.

The previous prime is 2537991217133. The next prime is 2537991217219. The reversal of 2537991217152 is 2517121997352.

2537991217152 is a `hidden beast` number, since 2 + 5 + 379 + 9 + 1 + 217 + 1 + 52 = 666.

It is a super-2 number, since 2×2537991217152² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1392204913 + ... + 1392206735.

Almost surely, 2^{2537991217152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2537991217152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831904537344).

2537991217152 is an abundant number, since it is smaller than the sum of its proper divisors (5125817857536).

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

2537991217152 is a wasteful number, since it uses less digits than its factorization.

2537991217152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2699 (or 2672 counting only the distinct ones).

The product of its digits is 2381400, while the sum is 54.

The spelling of 2537991217152 in words is "two trillion, five hundred thirty-seven billion, nine hundred ninety-one million, two hundred seventeen thousand, one hundred fifty-two".