2559261600 has 864 divisors, whose sum is σ = 11406769920. Its totient is φ = 526417920.

The previous prime is 2559261587. The next prime is 2559261647. The reversal of 2559261600 is 61629552.

2559261600 is a `hidden beast` number, since 2 + 5 + 592 + 6 + 1 + 60 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 24847149 + ... + 24847251.

It is an arithmetic number, because the mean of its divisors is an integer number (13202280).

Almost surely, 2^2559261600 is an apocalyptic number.

2559261600 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 2559261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703384960).

2559261600 is an abundant number, since it is smaller than the sum of its proper divisors (8847508320).

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

2559261600 is a wasteful number, since it uses less digits than its factorization.

2559261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 2559261600 is about 50589.1450807384. The cubic root of 2559261600 is about 1367.8492190438.

The spelling of 2559261600 in words is "two billion, five hundred fifty-nine million, two hundred sixty-one thousand, six hundred".