2455630632 has 192 divisors, whose sum is σ = 8250802560. Its totient is φ = 642470400.

The previous prime is 2455630561. The next prime is 2455630657. The reversal of 2455630632 is 2360365542.

2455630632 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

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, 856882 + ... + 859742.

It is an arithmetic number, because the mean of its divisors is an integer number (42972930).

Almost surely, 2^2455630632 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 2455630632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4125401280).

2455630632 is an abundant number, since it is smaller than the sum of its proper divisors (5795171928).

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

2455630632 is a wasteful number, since it uses less digits than its factorization.

2455630632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3024 (or 3017 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The square root of 2455630632 is about 49554.3200134963. The cubic root of 2455630632 is about 1349.1317017266.

The spelling of 2455630632 in words is "two billion, four hundred fifty-five million, six hundred thirty thousand, six hundred thirty-two".