2563407360 has 480 divisors, whose sum is σ = 9508891392. Its totient is φ = 637009920.

The previous prime is 2563407349. The next prime is 2563407361. The reversal of 2563407360 is 637043652.

2563407360 is a `hidden beast` number, since 256 + 3 + 40 + 7 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2563407361) 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 47 ways as a sum of consecutive naturals, for example, 26426832 + ... + 26426928.

Almost surely, 2^2563407360 is an apocalyptic number.

2563407360 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 2563407360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4754445696).

2563407360 is an abundant number, since it is smaller than the sum of its proper divisors (6945484032).

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

2563407360 is a wasteful number, since it uses less digits than its factorization.

2563407360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 2563407360 is about 50630.1032983343. The cubic root of 2563407360 is about 1368.5874157295.

The spelling of 2563407360 in words is "two billion, five hundred sixty-three million, four hundred seven thousand, three hundred sixty".