2598801408 has 312 divisors, whose sum is σ = 8920719808. Its totient is φ = 740524032.

The previous prime is 2598801391. The next prime is 2598801431. The reversal of 2598801408 is 8041088952.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6967110 + ... + 6967482.

Almost surely, 2^2598801408 is an apocalyptic number.

2598801408 is a gapful number since it is divisible by the number (28) 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 2598801408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4460359904).

2598801408 is an abundant number, since it is smaller than the sum of its proper divisors (6321918400).

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

2598801408 is an frugal number, since it uses more digits than its factorization.

2598801408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The square root of 2598801408 is about 50978.4406195403. The cubic root of 2598801408 is about 1374.8575337572.

The spelling of 2598801408 in words is "two billion, five hundred ninety-eight million, eight hundred one thousand, four hundred eight".