2597125440 has 672 divisors, whose sum is σ = 10741054464. Its totient is φ = 526417920.

The previous prime is 2597125439. The next prime is 2597125493. The reversal of 2597125440 is 445217952.

2597125440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18957052 + ... + 18957188.

It is an arithmetic number, because the mean of its divisors is an integer number (15983712).

Almost surely, 2^2597125440 is an apocalyptic number.

2597125440 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 2597125440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5370527232).

2597125440 is an abundant number, since it is smaller than the sum of its proper divisors (8143929024).

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

2597125440 is a wasteful number, since it uses less digits than its factorization.

2597125440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 39.

The square root of 2597125440 is about 50961.9999607551. Note that the first 4 decimals coincide. The cubic root of 2597125440 is about 1374.5619214887.

The spelling of 2597125440 in words is "two billion, five hundred ninety-seven million, one hundred twenty-five thousand, four hundred forty".