2640416896 has 32 divisors (see below), whose sum is σ = 5664840300. Its totient is φ = 1218653184.

The previous prime is 2640416893. The next prime is 2640416899. The reversal of 2640416896 is 6986140462.

It is an interprime number because it is at equal distance from previous prime (2640416893) and next prime (2640416899).

It can be written as a sum of positive squares in 2 ways, for example, as 2584705600 + 55711296 = 50840^2 + 7464^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (2640416893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 791731 + ... + 795058.

Almost surely, 2^2640416896 is an apocalyptic number.

2640416896 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

2640416896 is an abundant number, since it is smaller than the sum of its proper divisors (3024423404).

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

2640416896 is a wasteful number, since it uses less digits than its factorization.

2640416896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586816 (or 1586804 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The square root of 2640416896 is about 51384.9870682089. The cubic root of 2640416896 is about 1382.1573928752.

The spelling of 2640416896 in words is "two billion, six hundred forty million, four hundred sixteen thousand, eight hundred ninety-six".