2563253460 has 36 divisors (see below), whose sum is σ = 7775202708. Its totient is φ = 683534208.

The previous prime is 2563253449. The next prime is 2563253471. The reversal of 2563253460 is 643523652.

2563253460 is a `hidden beast` number, since 2 + 5 + 63 + 2 + 534 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2563253449) and next prime (2563253471).

It can be written as a sum of positive squares in 2 ways, for example, as 626901444 + 1936352016 = 25038^2 + 44004^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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 11 ways as a sum of consecutive naturals, for example, 7119969 + ... + 7120328.

It is an arithmetic number, because the mean of its divisors is an integer number (215977853).

Almost surely, 2^2563253460 is an apocalyptic number.

2563253460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2563253460 is an abundant number, since it is smaller than the sum of its proper divisors (5211949248).

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

2563253460 is a wasteful number, since it uses less digits than its factorization.

2563253460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14240312 (or 14240307 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2563253460 is about 50628.5834287312. The cubic root of 2563253460 is about 1368.5600264270.

The spelling of 2563253460 in words is "two billion, five hundred sixty-three million, two hundred fifty-three thousand, four hundred sixty".