2476764272 has 80 divisors (see below), whose sum is σ = 5173106400. Its totient is φ = 1144627200.

The previous prime is 2476764263. The next prime is 2476764293. The reversal of 2476764272 is 2724676742.

It is a happy number.

It is a super-2 number, since 2×2476764272² = 12268722518111379968, which contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 4120772 + ... + 4121372.

It is an arithmetic number, because the mean of its divisors is an integer number (64663830).

Almost surely, 2^2476764272 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 2476764272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2586553200).

2476764272 is an abundant number, since it is smaller than the sum of its proper divisors (2696342128).

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

2476764272 is a wasteful number, since it uses less digits than its factorization.

2476764272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 874 (or 868 counting only the distinct ones).

The product of its digits is 1580544, while the sum is 47.

The square root of 2476764272 is about 49767.1002972848. The cubic root of 2476764272 is about 1352.9909492174.

The spelling of 2476764272 in words is "two billion, four hundred seventy-six million, seven hundred sixty-four thousand, two hundred seventy-two".