2632047725160 has 768 divisors, whose sum is σ = 10688586854400. Its totient is φ = 569053900800.

The previous prime is 2632047725093. The next prime is 2632047725161. The reversal of 2632047725160 is 615277402362.

2632047725160 is a `hidden beast` number, since 2 + 6 + 3 + 20 + 47 + 72 + 516 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2632047725161) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1138920405 + ... + 1138922715.

It is an arithmetic number, because the mean of its divisors is an integer number (13917430800).

Almost surely, 2^{2632047725160} is an apocalyptic number.

2632047725160 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 2632047725160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5344293427200).

2632047725160 is an abundant number, since it is smaller than the sum of its proper divisors (8056539129240).

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

2632047725160 is a wasteful number, since it uses less digits than its factorization.

2632047725160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3244 (or 3228 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 2632047725160 in words is "two trillion, six hundred thirty-two billion, forty-seven million, seven hundred twenty-five thousand, one hundred sixty".