2539563264 has 216 divisors, whose sum is σ = 8528974272. Its totient is φ = 711659520.

The previous prime is 2539563223. The next prime is 2539563277. The reversal of 2539563264 is 4623659352.

2539563264 is a `hidden beast` number, since 2 + 5 + 3 + 9 + 5 + 632 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 853299 + ... + 856269.

It is an arithmetic number, because the mean of its divisors is an integer number (39485992).

Almost surely, 2^2539563264 is an apocalyptic number.

2539563264 is a gapful number since it is divisible by the number (24) 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 2539563264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4264487136).

2539563264 is an abundant number, since it is smaller than the sum of its proper divisors (5989411008).

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

2539563264 is a wasteful number, since it uses less digits than its factorization.

2539563264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3053 (or 3036 counting only the distinct ones).

The product of its digits is 1166400, while the sum is 45.

The square root of 2539563264 is about 50394.0796522766. The cubic root of 2539563264 is about 1364.3307849488.

The spelling of 2539563264 in words is "two billion, five hundred thirty-nine million, five hundred sixty-three thousand, two hundred sixty-four".