2241600 has 84 divisors (see below), whose sum is σ = 7370064. Its totient is φ = 596480.

The previous prime is 2241599. The next prime is 2241607. The reversal of 2241600 is 61422.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2241600.

It is not an unprimeable number, because it can be changed into a prime (2241607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4567 + ... + 5033.

2^2241600 is an apocalyptic number.

2241600 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 2241600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3685032).

2241600 is an abundant number, since it is smaller than the sum of its proper divisors (5128464).

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

2241600 is a wasteful number, since it uses less digits than its factorization.

2241600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 492 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 2241600 is about 1497.1973817770. The cubic root of 2241600 is about 130.8737980056.

The spelling of 2241600 in words is "two million, two hundred forty-one thousand, six hundred".