2472756064 has 48 divisors (see below), whose sum is σ = 5182153200. Its totient is φ = 1158119424.

The previous prime is 2472756047. The next prime is 2472756067. The reversal of 2472756064 is 4606572742.

It is a super-2 number, since 2×2472756064² = 12229045104097544192, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2472756064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2472756067) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 31264 + ... + 76960.

It is an arithmetic number, because the mean of its divisors is an integer number (107961525).

Almost surely, 2^2472756064 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 2472756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2591076600).

2472756064 is an abundant number, since it is smaller than the sum of its proper divisors (2709397136).

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

2472756064 is a wasteful number, since it uses less digits than its factorization.

2472756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45815 (or 45807 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 43.

The square root of 2472756064 is about 49726.8143359295. The cubic root of 2472756064 is about 1352.2606957344.

The spelling of 2472756064 in words is "two billion, four hundred seventy-two million, seven hundred fifty-six thousand, sixty-four".