2296409664 has 56 divisors (see below), whose sum is σ = 6094118368. Its totient is φ = 763176960.

The previous prime is 2296409663. The next prime is 2296409693. The reversal of 2296409664 is 4669046922.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2296409663) 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 7 ways as a sum of consecutive naturals, for example, 46959 + ... + 82449.

Almost surely, 2^2296409664 is an apocalyptic number.

2296409664 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 2296409664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3047059184).

2296409664 is an abundant number, since it is smaller than the sum of its proper divisors (3797708704).

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

2296409664 is a wasteful number, since it uses less digits than its factorization.

2296409664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35843 (or 35833 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The square root of 2296409664 is about 47920.8687734269. The cubic root of 2296409664 is about 1319.3189140187.

The spelling of 2296409664 in words is "two billion, two hundred ninety-six million, four hundred nine thousand, six hundred sixty-four".