2597624640 has 420 divisors, whose sum is σ = 10022541804. Its totient is φ = 638337024.

The previous prime is 2597624629. The next prime is 2597624647. The reversal of 2597624640 is 464267952.

It can be written as a sum of positive squares in 6 ways, for example, as 400640256 + 2196984384 = 20016^2 + 46872^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2597624647) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 4380184 + ... + 4380776.

Almost surely, 2^2597624640 is an apocalyptic number.

2597624640 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 2597624640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5011270902).

2597624640 is an abundant number, since it is smaller than the sum of its proper divisors (7424917164).

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

2597624640 is a wasteful number, since it uses less digits than its factorization.

2597624640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 648 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 2597624640 is about 50966.8974923921. The cubic root of 2597624640 is about 1374.6499851791.

The spelling of 2597624640 in words is "two billion, five hundred ninety-seven million, six hundred twenty-four thousand, six hundred forty".