2537872787352 has 128 divisors (see below), whose sum is σ = 7309698969600. Its totient is φ = 719257104000.

The previous prime is 2537872787347. The next prime is 2537872787363.

It is a happy number.

2537872787352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2537872787352² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17456899 + ... + 17601677.

It is an arithmetic number, because the mean of its divisors is an integer number (57107023200).

Almost surely, 2^{2537872787352} 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 2537872787352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654849484800).

2537872787352 is an abundant number, since it is smaller than the sum of its proper divisors (4771826182248).

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

2537872787352 is a wasteful number, since it uses less digits than its factorization.

2537872787352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145637 (or 145633 counting only the distinct ones).

The product of its digits is 276595200, while the sum is 66.

The spelling of 2537872787352 in words is "two trillion, five hundred thirty-seven billion, eight hundred seventy-two million, seven hundred eighty-seven thousand, three hundred fifty-two".