2296439424 has 384 divisors, whose sum is σ = 7498370880. Its totient is φ = 696729600.

The previous prime is 2296439423. The next prime is 2296439429. The reversal of 2296439424 is 4249346922.

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 2296439424.

It is not an unprimeable number, because it can be changed into a prime (2296439423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22736974 + ... + 22737074.

Almost surely, 2^2296439424 is an apocalyptic number.

2296439424 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 2296439424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3749185440).

2296439424 is an abundant number, since it is smaller than the sum of its proper divisors (5201931456).

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

2296439424 is a wasteful number, since it uses less digits than its factorization.

2296439424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 166 counting only the distinct ones).

The product of its digits is 746496, while the sum is 45.

The square root of 2296439424 is about 47921.1792843206. The cubic root of 2296439424 is about 1319.3246131704.

The spelling of 2296439424 in words is "two billion, two hundred ninety-six million, four hundred thirty-nine thousand, four hundred twenty-four".