2272800 has 72 divisors (see below), whose sum is σ = 7405776. Its totient is φ = 605440.

The previous prime is 2272771. The next prime is 2272811. The reversal of 2272800 is 82722.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1927 + ... + 2873.

It is an arithmetic number, because the mean of its divisors is an integer number (102858).

2^2272800 is an apocalyptic number.

2272800 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 2272800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3702888).

2272800 is an abundant number, since it is smaller than the sum of its proper divisors (5132976).

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

2272800 is a wasteful number, since it uses less digits than its factorization.

2272800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2272800 is about 1507.5808436034. The cubic root of 2272800 is about 131.4781971206.

The spelling of 2272800 in words is "two million, two hundred seventy-two thousand, eight hundred".