2402560264 has 64 divisors (see below), whose sum is σ = 5020001280. Its totient is φ = 1070496000.

The previous prime is 2402560261. The next prime is 2402560301. The reversal of 2402560264 is 4620652042.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (2402560261) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2033754 + ... + 2034934.

It is an arithmetic number, because the mean of its divisors is an integer number (78437520).

Almost surely, 2^2402560264 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 2402560264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2510000640).

2402560264 is an abundant number, since it is smaller than the sum of its proper divisors (2617441016).

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

2402560264 is a wasteful number, since it uses less digits than its factorization.

2402560264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1862 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 31.

The square root of 2402560264 is about 49015.9184755320. The cubic root of 2402560264 is about 1339.3418212713.

The spelling of 2402560264 in words is "two billion, four hundred two million, five hundred sixty thousand, two hundred sixty-four".