2598324960 has 576 divisors, whose sum is σ = 10598563584. Its totient is φ = 533406720.

The previous prime is 2598324959. The next prime is 2598324983. The reversal of 2598324960 is 694238952.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31305079 + ... + 31305161.

It is an arithmetic number, because the mean of its divisors is an integer number (18400284).

Almost surely, 2^2598324960 is an apocalyptic number.

2598324960 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 2598324960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5299281792).

2598324960 is an abundant number, since it is smaller than the sum of its proper divisors (8000238624).

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

2598324960 is a wasteful number, since it uses less digits than its factorization.

2598324960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 48.

The square root of 2598324960 is about 50973.7673710704. The cubic root of 2598324960 is about 1374.7735093611.

The spelling of 2598324960 in words is "two billion, five hundred ninety-eight million, three hundred twenty-four thousand, nine hundred sixty".