2596960800 has 648 divisors, whose sum is σ = 11305315476. Its totient is φ = 557383680.

The previous prime is 2596960789. The next prime is 2596960801. The reversal of 2596960800 is 80696952.

It can be written as a sum of positive squares in 6 ways, for example, as 754491024 + 1842469776 = 27468^2 + 42924^2 .

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 (2596960801) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5997384 + ... + 5997816.

Almost surely, 2^2596960800 is an apocalyptic number.

2596960800 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 2596960800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5652657738).

2596960800 is an abundant number, since it is smaller than the sum of its proper divisors (8708354676).

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

2596960800 is a wasteful number, since it uses less digits than its factorization.

2596960800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The square root of 2596960800 is about 50960.3846139332. The cubic root of 2596960800 is about 1374.5328749316.

The spelling of 2596960800 in words is "two billion, five hundred ninety-six million, nine hundred sixty thousand, eight hundred".