2572460642752 has 504 divisors, whose sum is σ = 7309722134400. Its totient is φ = 876408698880.

The previous prime is 2572460642663. The next prime is 2572460642779.

2572460642752 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 2572460642752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 174054499 + ... + 174069277.

Almost surely, 2^{2572460642752} is an apocalyptic number.

2572460642752 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 2572460642752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3654861067200).

2572460642752 is an abundant number, since it is smaller than the sum of its proper divisors (4737261491648).

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

2572460642752 is a wasteful number, since it uses less digits than its factorization.

2572460642752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14865 (or 14831 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 52.

The spelling of 2572460642752 in words is "two trillion, five hundred seventy-two billion, four hundred sixty million, six hundred forty-two thousand, seven hundred fifty-two".