2468710272 has 128 divisors (see below), whose sum is σ = 7524172800. Its totient is φ = 702535680.

The previous prime is 2468710247. The next prime is 2468710303. The reversal of 2468710272 is 2720178642.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 2468710272.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 726754 + ... + 730142.

It is an arithmetic number, because the mean of its divisors is an integer number (58782600).

Almost surely, 2^2468710272 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 2468710272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3762086400).

2468710272 is an abundant number, since it is smaller than the sum of its proper divisors (5055462528).

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

2468710272 is a wasteful number, since it uses less digits than its factorization.

2468710272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3672 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 2468710272 is about 49686.1174977478. The cubic root of 2468710272 is about 1351.5227941318.

The spelling of 2468710272 in words is "two billion, four hundred sixty-eight million, seven hundred ten thousand, two hundred seventy-two".