2531258205120 has 336 divisors, whose sum is σ = 8753517732960. Its totient is φ = 671361343488.

The previous prime is 2531258205107. The next prime is 2531258205149. The reversal of 2531258205120 is 215028521352.

2531258205120 is a `hidden beast` number, since 2 + 5 + 3 + 1 + 2 + 582 + 0 + 51 + 20 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1116566227 + ... + 1116568493.

It is an arithmetic number, because the mean of its divisors is an integer number (26052136110).

Almost surely, 2^{2531258205120} is an apocalyptic number.

2531258205120 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 2531258205120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4376758866480).

2531258205120 is an abundant number, since it is smaller than the sum of its proper divisors (6222259527840).

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

2531258205120 is a wasteful number, since it uses less digits than its factorization.

2531258205120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4212 (or 4199 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 2531258205120 in words is "two trillion, five hundred thirty-one billion, two hundred fifty-eight million, two hundred five thousand, one hundred twenty".