2242880080 has 160 divisors (see below), whose sum is σ = 6304239360. Its totient is φ = 724930560.

The previous prime is 2242880077. The next prime is 2242880089. The reversal of 2242880080 is 800882422.

It is a super-2 number, since 2×2242880080² = 10061022106521612800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242880089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2946900 + ... + 2947660.

It is an arithmetic number, because the mean of its divisors is an integer number (39401496).

Almost surely, 2^2242880080 is an apocalyptic number.

2242880080 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 2242880080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3152119680).

2242880080 is an abundant number, since it is smaller than the sum of its proper divisors (4061359280).

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

2242880080 is a wasteful number, since it uses less digits than its factorization.

2242880080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1077 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 34.

The square root of 2242880080 is about 47359.0548892184. The cubic root of 2242880080 is about 1308.9870537115.

The spelling of 2242880080 in words is "two billion, two hundred forty-two million, eight hundred eighty thousand, eighty".