2597105280 has 384 divisors, whose sum is σ = 10405664640. Its totient is φ = 539320320.

The previous prime is 2597105267. The next prime is 2597105297. The reversal of 2597105280 is 825017952.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1625442 + ... + 1627038.

It is an arithmetic number, because the mean of its divisors is an integer number (27098085).

Almost surely, 2^2597105280 is an apocalyptic number.

2597105280 is a gapful number since it is divisible by the number (20) 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 2597105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5202832320).

2597105280 is an abundant number, since it is smaller than the sum of its proper divisors (7808559360).

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

2597105280 is a wasteful number, since it uses less digits than its factorization.

2597105280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1625 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 2597105280 is about 50961.8021659360. The cubic root of 2597105280 is about 1374.5583648334.

The spelling of 2597105280 in words is "two billion, five hundred ninety-seven million, one hundred five thousand, two hundred eighty".