2631257460 has 144 divisors (see below), whose sum is σ = 8914004736. Its totient is φ = 647678592.

The previous prime is 2631257449. The next prime is 2631257471. The reversal of 2631257460 is 647521362.

2631257460 is a `hidden beast` number, since 26 + 3 + 1 + 2 + 574 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (2631257449) and next prime (2631257471).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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, 42357 + ... + 84003.

Almost surely, 2^2631257460 is an apocalyptic number.

2631257460 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 2631257460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4457002368).

2631257460 is an abundant number, since it is smaller than the sum of its proper divisors (6282747276).

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

2631257460 is a wasteful number, since it uses less digits than its factorization.

2631257460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41684 (or 41670 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2631257460 is about 51295.7840372871. The cubic root of 2631257460 is about 1380.5573363167.

The spelling of 2631257460 in words is "two billion, six hundred thirty-one million, two hundred fifty-seven thousand, four hundred sixty".