2264595840 has 512 divisors, whose sum is σ = 9160905600. Its totient is φ = 523763712.

The previous prime is 2264595803. The next prime is 2264595859. The reversal of 2264595840 is 485954622.

2264595840 is a `hidden beast` number, since 2 + 2 + 64 + 5 + 9 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3818584 + ... + 3819176.

Almost surely, 2^2264595840 is an apocalyptic number.

2264595840 is a gapful number since it is divisible by the number (20) 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 2264595840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4580452800).

2264595840 is an abundant number, since it is smaller than the sum of its proper divisors (6896309760).

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

2264595840 is a wasteful number, since it uses less digits than its factorization.

2264595840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651 (or 633 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 2264595840 is about 47587.7698573909. The cubic root of 2264595840 is about 1313.1980678426.

The spelling of 2264595840 in words is "two billion, two hundred sixty-four million, five hundred ninety-five thousand, eight hundred forty".