2200480 has 48 divisors (see below), whose sum is σ = 5511240. Its totient is φ = 827392.

The previous prime is 2200459. The next prime is 2200483. The reversal of 2200480 is 840022.

It can be written as a sum of positive squares in 4 ways, for example, as 2178576 + 21904 = 1476^2 + 148^2 .

It is a super-2 number, since 2×2200480² = 9684224460800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (2200483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2316 + ... + 3124.

2^2200480 is an apocalyptic number.

2200480 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 2200480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2755620).

2200480 is an abundant number, since it is smaller than the sum of its proper divisors (3310760).

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

2200480 is a wasteful number, since it uses less digits than its factorization.

2200480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 841 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 2200480 is about 1483.4014965612. The cubic root of 2200480 is about 130.0686028442.

It can be divided in two parts, 2 and 200480, that multiplied together give a triangular number (400960 = T₈₉₅).

The spelling of 2200480 in words is "two million, two hundred thousand, four hundred eighty".