2632117248 has 352 divisors, whose sum is σ = 8363550720. Its totient is φ = 816168960.

The previous prime is 2632117199. The next prime is 2632117261. The reversal of 2632117248 is 8427112362.

It is a happy number.

2632117248 is a `hidden beast` number, since 2 + 632 + 1 + 17 + 2 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31712215 + ... + 31712297.

Almost surely, 2^2632117248 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 2632117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181775360).

2632117248 is an abundant number, since it is smaller than the sum of its proper divisors (5731433472).

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

2632117248 is a wasteful number, since it uses less digits than its factorization.

2632117248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 156 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2632117248 is about 51304.1640415279. The cubic root of 2632117248 is about 1380.7076899513.

It can be divided in two parts, 2632117 and 248, that added together give a triangular number (2632365 = T₂₂₉₄).

The spelling of 2632117248 in words is "two billion, six hundred thirty-two million, one hundred seventeen thousand, two hundred forty-eight".