2575466645752 has 288 divisors, whose sum is σ = 6630410908800. Its totient is φ = 917541630720.

The previous prime is 2575466645747. The next prime is 2575466645783.

2575466645752 is nontrivially palindromic in base 10.

2575466645752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 122519899 + ... + 122540917.

It is an arithmetic number, because the mean of its divisors is an integer number (23022260100).

Almost surely, 2^{2575466645752} is an apocalyptic number.

2575466645752 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 2575466645752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3315205454400).

2575466645752 is an abundant number, since it is smaller than the sum of its proper divisors (4054944263048).

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

2575466645752 is a wasteful number, since it uses less digits than its factorization.

2575466645752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21187 (or 21159 counting only the distinct ones).

The product of its digits is 423360000, while the sum is 64.

The spelling of 2575466645752 in words is "two trillion, five hundred seventy-five billion, four hundred sixty-six million, six hundred forty-five thousand, seven hundred fifty-two".