2531083480 has 128 divisors (see below), whose sum is σ = 6231168000. Its totient is φ = 922060800.

The previous prime is 2531083447. The next prime is 2531083481. The reversal of 2531083480 is 843801352.

It is a happy number.

2531083480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2531083481) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2106880 + ... + 2108080.

It is an arithmetic number, because the mean of its divisors is an integer number (48681000).

Almost surely, 2^2531083480 is an apocalyptic number.

2531083480 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 2531083480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3115584000).

2531083480 is an abundant number, since it is smaller than the sum of its proper divisors (3700084520).

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

2531083480 is a wasteful number, since it uses less digits than its factorization.

2531083480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1337 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 34.

The square root of 2531083480 is about 50309.8745774624. The cubic root of 2531083480 is about 1362.8105588407.

The spelling of 2531083480 in words is "two billion, five hundred thirty-one million, eighty-three thousand, four hundred eighty".