2531013120 has 240 divisors, whose sum is σ = 9005550840. Its totient is φ = 656474112.

The previous prime is 2531013119. The next prime is 2531013137. The reversal of 2531013120 is 213101352.

2531013120 is a `hidden beast` number, since 2 + 531 + 0 + 13 + 120 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1747908864 + 783104256 = 41808^2 + 27984^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2531013120² = 12812054827224268800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2531013093 and 2531013102.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 850996 + ... + 853964.

Almost surely, 2^2531013120 is an apocalyptic number.

2531013120 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 2531013120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4502775420).

2531013120 is an abundant number, since it is smaller than the sum of its proper divisors (6474537720).

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

2531013120 is a wasteful number, since it uses less digits than its factorization.

2531013120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3035 (or 3016 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 2531013120 is about 50309.1753062997. The cubic root of 2531013120 is about 1362.7979307521.

Adding to 2531013120 its reverse (213101352), we get a palindrome (2744114472).

The spelling of 2531013120 in words is "two billion, five hundred thirty-one million, thirteen thousand, one hundred twenty".