2531266405920 has 2304 divisors, whose sum is σ = 11208637440000. Its totient is φ = 517786214400.

The previous prime is 2531266405907. The next prime is 2531266405931. The reversal of 2531266405920 is 295046621352.

2531266405920 is a `hidden beast` number, since 2 + 5 + 3 + 12 + 6 + 6 + 40 + 592 + 0 = 666.

It is a super-2 number, since 2×2531266405920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 19322644255 + ... + 19322644385.

It is an arithmetic number, because the mean of its divisors is an integer number (4864860000).

Almost surely, 2^{2531266405920} is an apocalyptic number.

2531266405920 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 2531266405920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5604318720000).

2531266405920 is an abundant number, since it is smaller than the sum of its proper divisors (8677371034080).

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

2531266405920 is a wasteful number, since it uses less digits than its factorization.

2531266405920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 2531266405920 in words is "two trillion, five hundred thirty-one billion, two hundred sixty-six million, four hundred five thousand, nine hundred twenty".