2445675264 has 108 divisors (see below), whose sum is σ = 7069693176. Its totient is φ = 813121536.

The previous prime is 2445675263. The next prime is 2445675277. The reversal of 2445675264 is 4625765442.

2445675264 is a `hidden beast` number, since 24 + 4 + 567 + 5 + 2 + 64 = 666.

It is not an unprimeable number, because it can be changed into a prime (2445675263) 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, 1074832 + ... + 1077104.

It is an arithmetic number, because the mean of its divisors is an integer number (65460122).

Almost surely, 2^2445675264 is an apocalyptic number.

2445675264 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 2445675264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534846588).

2445675264 is an abundant number, since it is smaller than the sum of its proper divisors (4624017912).

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

2445675264 is a wasteful number, since it uses less digits than its factorization.

2445675264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2762 (or 2745 counting only the distinct ones).

The product of its digits is 1612800, while the sum is 45.

The square root of 2445675264 is about 49453.7689564709. The cubic root of 2445675264 is about 1347.3060615396.

The spelling of 2445675264 in words is "two billion, four hundred forty-five million, six hundred seventy-five thousand, two hundred sixty-four".