2272907680 has 96 divisors (see below), whose sum is σ = 5668004160. Its totient is φ = 858931200.

The previous prime is 2272907677. The next prime is 2272907723. The reversal of 2272907680 is 867092722.

It is a happy number.

It is a super-2 number, since 2×2272907680² = 10332218643605964800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1418880 + ... + 1420480.

It is an arithmetic number, because the mean of its divisors is an integer number (59041710).

Almost surely, 2^2272907680 is an apocalyptic number.

2272907680 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 2272907680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2834002080).

2272907680 is an abundant number, since it is smaller than the sum of its proper divisors (3395096480).

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

2272907680 is a wasteful number, since it uses less digits than its factorization.

2272907680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2102 (or 2094 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 2272907680 is about 47675.0215521713. The cubic root of 2272907680 is about 1314.8027346535.

The spelling of 2272907680 in words is "two billion, two hundred seventy-two million, nine hundred seven thousand, six hundred eighty".