2563165440 has 432 divisors, whose sum is σ = 9814633920. Its totient is φ = 612433920.

The previous prime is 2563165433. The next prime is 2563165453. The reversal of 2563165440 is 445613652.

2563165440 is a `hidden beast` number, since 2 + 56 + 3 + 165 + 440 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2563165395 and 2563165404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14319271 + ... + 14319449.

It is an arithmetic number, because the mean of its divisors is an integer number (22719060).

Almost surely, 2^2563165440 is an apocalyptic number.

2563165440 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 2563165440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907316960).

2563165440 is an abundant number, since it is smaller than the sum of its proper divisors (7251468480).

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

2563165440 is a wasteful number, since it uses less digits than its factorization.

2563165440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 2563165440 is about 50627.7141494656. The cubic root of 2563165440 is about 1368.5443611753.

The spelling of 2563165440 in words is "two billion, five hundred sixty-three million, one hundred sixty-five thousand, four hundred forty".