2625394464 has 768 divisors, whose sum is σ = 10528358400. Its totient is φ = 615859200.

The previous prime is 2625394423. The next prime is 2625394469. The reversal of 2625394464 is 4644935262.

It is not an unprimeable number, because it can be changed into a prime (2625394469) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 39184959 + ... + 39185025.

It is an arithmetic number, because the mean of its divisors is an integer number (13708800).

Almost surely, 2^2625394464 is an apocalyptic number.

2625394464 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 2625394464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5264179200).

2625394464 is an abundant number, since it is smaller than the sum of its proper divisors (7902963936).

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

2625394464 is a wasteful number, since it uses less digits than its factorization.

2625394464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 140 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The square root of 2625394464 is about 51238.6032596518. The cubic root of 2625394464 is about 1379.5311829053.

The spelling of 2625394464 in words is "two billion, six hundred twenty-five million, three hundred ninety-four thousand, four hundred sixty-four".