2471461632 has 504 divisors, whose sum is σ = 8444867760. Its totient is φ = 716636160.

The previous prime is 2471461627. The next prime is 2471461633. The reversal of 2471461632 is 2361641742.

2471461632 is a `hidden beast` number, since 2 + 4 + 7 + 1 + 4 + 616 + 32 = 666.

It is a super-2 number, since 2×2471461632² = 12216245196896206848, 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 (2471461633) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60279532 + ... + 60279572.

It is an arithmetic number, because the mean of its divisors is an integer number (16755690).

Almost surely, 2^2471461632 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 2471461632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4222433880).

2471461632 is an abundant number, since it is smaller than the sum of its proper divisors (5973406128).

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

2471461632 is an equidigital number, since it uses as much as digits as its factorization.

2471461632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 82 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 2471461632 is about 49713.7971995703. The cubic root of 2471461632 is about 1352.0246952295.

The spelling of 2471461632 in words is "two billion, four hundred seventy-one million, four hundred sixty-one thousand, six hundred thirty-two".