2240796160 has 160 divisors (see below), whose sum is σ = 5904264960. Its totient is φ = 811819008.

The previous prime is 2240796149. The next prime is 2240796161. The reversal of 2240796160 is 616970422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240796161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1117719 + ... + 1119721.

It is an arithmetic number, because the mean of its divisors is an integer number (36901656).

Almost surely, 2^2240796160 is an apocalyptic number.

2240796160 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 2240796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952132480).

2240796160 is an abundant number, since it is smaller than the sum of its proper divisors (3663468800).

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

2240796160 is a wasteful number, since it uses less digits than its factorization.

2240796160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2068 (or 2052 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2240796160 is about 47337.0484926976. The cubic root of 2240796160 is about 1308.5815231033.

The spelling of 2240796160 in words is "two billion, two hundred forty million, seven hundred ninety-six thousand, one hundred sixty".