2215600 has 60 divisors (see below), whose sum is σ = 5535360. Its totient is φ = 851200.

The previous prime is 2215583. The next prime is 2215639. The reversal of 2215600 is 65122.

It is a happy number.

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

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, 11505 + ... + 11695.

It is an arithmetic number, because the mean of its divisors is an integer number (92256).

2^2215600 is an apocalyptic number.

2215600 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 2215600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2767680).

2215600 is an abundant number, since it is smaller than the sum of its proper divisors (3319760).

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

2215600 is a wasteful number, since it uses less digits than its factorization.

2215600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 2215600 is about 1488.4891669072. The cubic root of 2215600 is about 130.3658334465.

The spelling of 2215600 in words is "two million, two hundred fifteen thousand, six hundred".