2598041080336 has 135 divisors (see below), whose sum is σ = 5514923744109. Its totient is φ = 1185130866816.

The previous prime is 2598041080331. The next prime is 2598041080337. The reversal of 2598041080336 is 6330801408952.

The square root of 2598041080336 is 1611844.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 384325603600 + 2213715476736 = 619940^2 + 1487856^2 .

It is a super-2 number, since 2×2598041080336² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2598041080336.

It is not an unprimeable number, because it can be changed into a prime (2598041080331) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11650408321 + ... + 11650408543.

Almost surely, 2^{2598041080336} is an apocalyptic number.

2598041080336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2598041080336 is the 1611844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2598041080336

2598041080336 is an abundant number, since it is smaller than the sum of its proper divisors (2916882663773).

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

2598041080336 is an equidigital number, since it uses as much as digits as its factorization.

2598041080336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 377 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 2598041080336 by its sum of digits (49), we get a square (127304012936464 = 11282908²).

The spelling of 2598041080336 in words is "two trillion, five hundred ninety-eight billion, forty-one million, eighty thousand, three hundred thirty-six".