2488720464 has 120 divisors (see below), whose sum is σ = 7298491200. Its totient is φ = 820896768.

The previous prime is 2488720447. The next prime is 2488720469. The reversal of 2488720464 is 4640278842.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2488720469) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 373837 + ... + 380435.

It is an arithmetic number, because the mean of its divisors is an integer number (60820760).

Almost surely, 2^2488720464 is an apocalyptic number.

2488720464 is a gapful number since it is divisible by the number (24) 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 2488720464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3649245600).

2488720464 is an abundant number, since it is smaller than the sum of its proper divisors (4809770736).

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

2488720464 is an equidigital number, since it uses as much as digits as its factorization.

2488720464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6719 (or 6701 counting only the distinct ones).

The product of its (nonzero) digits is 688128, while the sum is 45.

The square root of 2488720464 is about 49887.0771242413. The cubic root of 2488720464 is about 1355.1645727225.

The spelling of 2488720464 in words is "two billion, four hundred eighty-eight million, seven hundred twenty thousand, four hundred sixty-four".