2530906560 has 1120 divisors, whose sum is σ = 11772351360. Its totient is φ = 501645312.

The previous prime is 2530906537. The next prime is 2530906577. The reversal of 2530906560 is 656090352.

2530906560 is a `hidden beast` number, since 2 + 5 + 3 + 0 + 90 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 68402862 + ... + 68402898.

It is an arithmetic number, because the mean of its divisors is an integer number (10511028).

Almost surely, 2^2530906560 is an apocalyptic number.

2530906560 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 2530906560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5886175680).

2530906560 is an abundant number, since it is smaller than the sum of its proper divisors (9241444800).

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

2530906560 is a wasteful number, since it uses less digits than its factorization.

2530906560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The square root of 2530906560 is about 50308.1162438030. The cubic root of 2530906560 is about 1362.7788051058.

The spelling of 2530906560 in words is "two billion, five hundred thirty million, nine hundred six thousand, five hundred sixty".