2559326400 has 252 divisors, whose sum is σ = 9148706112. Its totient is φ = 678574080.

The previous prime is 2559326389. The next prime is 2559326411. The reversal of 2559326400 is 46239552.

2559326400 is a `hidden beast` number, since 2 + 5 + 5 + 9 + 3 + 2 + 640 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2559326389) and next prime (2559326411).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 35 ways as a sum of consecutive naturals, for example, 3210802 + ... + 3211598.

Almost surely, 2^2559326400 is an apocalyptic number.

2559326400 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 2559326400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4574353056).

2559326400 is an abundant number, since it is smaller than the sum of its proper divisors (6589379712).

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

2559326400 is a wasteful number, since it uses less digits than its factorization.

2559326400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 2559326400 is about 50589.7855302827. The cubic root of 2559326400 is about 1367.8607635040.

The spelling of 2559326400 in words is "two billion, five hundred fifty-nine million, three hundred twenty-six thousand, four hundred".