2040291264 has 112 divisors (see below), whose sum is σ = 5901025536. Its totient is φ = 617011200.

The previous prime is 2040291251. The next prime is 2040291277. The reversal of 2040291264 is 4621920402.

It is an interprime number because it is at equal distance from previous prime (2040291251) and next prime (2040291277).

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 15 ways as a sum of consecutive naturals, for example, 1978429 + ... + 1979459.

It is an arithmetic number, because the mean of its divisors is an integer number (52687728).

Almost surely, 2^2040291264 is an apocalyptic number.

2040291264 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 2040291264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2950512768).

2040291264 is an abundant number, since it is smaller than the sum of its proper divisors (3860734272).

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

2040291264 is a wasteful number, since it uses less digits than its factorization.

2040291264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1994 (or 1984 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 2040291264 is about 45169.5833941381. The cubic root of 2040291264 is about 1268.3254976781.

The spelling of 2040291264 in words is "two billion, forty million, two hundred ninety-one thousand, two hundred sixty-four".