2896593440 has 96 divisors (see below), whose sum is σ = 7408059120. Its totient is φ = 1063931904.

The previous prime is 2896593439. The next prime is 2896593449. The reversal of 2896593440 is 443956982.

It can be written as a sum of positive squares in 8 ways, for example, as 1387115536 + 1509477904 = 37244^2 + 38852^2 .

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2896593449) 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 15 ways as a sum of consecutive naturals, for example, 406226 + ... + 413294.

Almost surely, 2^2896593440 is an apocalyptic number.

2896593440 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 2896593440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3704029560).

2896593440 is an abundant number, since it is smaller than the sum of its proper divisors (4511465680).

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

2896593440 is a wasteful number, since it uses less digits than its factorization.

2896593440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7294 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 50.

The square root of 2896593440 is about 53820.0096618349. The cubic root of 2896593440 is about 1425.4845488736.

The spelling of 2896593440 in words is "two billion, eight hundred ninety-six million, five hundred ninety-three thousand, four hundred forty".