2531482632 has 192 divisors, whose sum is σ = 8554291200. Its totient is φ = 685143360.

The previous prime is 2531482589. The next prime is 2531482637. The reversal of 2531482632 is 2362841352.

2531482632 is a `hidden beast` number, since 2 + 5 + 3 + 14 + 8 + 2 + 632 = 666.

It is a super-2 number, since 2×2531482632² = 12816808632235294848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2531482637) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 253657 + ... + 263447.

It is an arithmetic number, because the mean of its divisors is an integer number (44553600).

Almost surely, 2^2531482632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2531482632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4277145600).

2531482632 is an abundant number, since it is smaller than the sum of its proper divisors (6022808568).

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

2531482632 is a wasteful number, since it uses less digits than its factorization.

2531482632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9838 (or 9822 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2531482632 is about 50313.8413560324. The cubic root of 2531482632 is about 1362.8821935079.

The spelling of 2531482632 in words is "two billion, five hundred thirty-one million, four hundred eighty-two thousand, six hundred thirty-two".