2530581120 has 288 divisors, whose sum is σ = 9230113620. Its totient is φ = 638779392.

The previous prime is 2530581113. The next prime is 2530581133. The reversal of 2530581120 is 211850352.

It is a happy number.

2530581120 is a `hidden beast` number, since 2 + 530 + 5 + 8 + 1 + 120 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2470487616 + 60093504 = 49704^2 + 7752^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2078752 + ... + 2079968.

Almost surely, 2^2530581120 is an apocalyptic number.

2530581120 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 2530581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4615056810).

2530581120 is an abundant number, since it is smaller than the sum of its proper divisors (6699532500).

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

2530581120 is a wasteful number, since it uses less digits than its factorization.

2530581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1280 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2530581120 is about 50304.8816716628. The cubic root of 2530581120 is about 1362.7203910244.

The spelling of 2530581120 in words is "two billion, five hundred thirty million, five hundred eighty-one thousand, one hundred twenty".