2598494400 has 252 divisors, whose sum is σ = 9535225024. Its totient is φ = 670464000.

The previous prime is 2598494377. The next prime is 2598494401. The reversal of 2598494400 is 44948952.

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

It is not an unprimeable number, because it can be changed into a prime (2598494401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 443490 + ... + 449310.

Almost surely, 2^2598494400 is an apocalyptic number.

2598494400 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 2598494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4767612512).

2598494400 is an abundant number, since it is smaller than the sum of its proper divisors (6936730624).

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

2598494400 is a wasteful number, since it uses less digits than its factorization.

2598494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5880 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2598494400 is about 50975.4293753373. The cubic root of 2598494400 is about 1374.8033922746.

The spelling of 2598494400 in words is "two billion, five hundred ninety-eight million, four hundred ninety-four thousand, four hundred".