2590258575180 has 48 divisors (see below), whose sum is σ = 7253186653440. Its totient is φ = 690691558848.

The previous prime is 2590258575071. The next prime is 2590258575181. The reversal of 2590258575180 is 815758520952.

It is a happy number.

It is a super-4 number, since 4×2590258575180⁴ (a number of 51 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2590258575180.

It is not an unprimeable number, because it can be changed into a prime (2590258575181) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 423010 + ... + 2315049.

It is an arithmetic number, because the mean of its divisors is an integer number (151108055280).

Almost surely, 2^{2590258575180} is an apocalyptic number.

2590258575180 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2590258575180 is an abundant number, since it is smaller than the sum of its proper divisors (4662928078260).

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

2590258575180 is a wasteful number, since it uses less digits than its factorization.

2590258575180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753838 (or 2753836 counting only the distinct ones).

The product of its (nonzero) digits is 10080000, while the sum is 57.

The spelling of 2590258575180 in words is "two trillion, five hundred ninety billion, two hundred fifty-eight million, five hundred seventy-five thousand, one hundred eighty".