2478864672 has 72 divisors (see below), whose sum is σ = 7054079760. Its totient is φ = 825724800.

The previous prime is 2478864671. The next prime is 2478864709. The reversal of 2478864672 is 2764688742.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×2478864672² = 12289540124179335168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2478864671) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 819579 + ... + 822597.

It is an arithmetic number, because the mean of its divisors is an integer number (97973330).

Almost surely, 2^2478864672 is an apocalyptic number.

It is an amenable number.

2478864672 is an abundant number, since it is smaller than the sum of its proper divisors (4575215088).

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

2478864672 is a wasteful number, since it uses less digits than its factorization.

2478864672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5886 (or 5875 counting only the distinct ones).

The product of its digits is 7225344, while the sum is 54.

The square root of 2478864672 is about 49788.1981196347. The cubic root of 2478864672 is about 1353.3733055134.

The spelling of 2478864672 in words is "two billion, four hundred seventy-eight million, eight hundred sixty-four thousand, six hundred seventy-two".