2245600 has 72 divisors (see below), whose sum is σ = 6280848. Its totient is φ = 768000.

The previous prime is 2245597. The next prime is 2245619. The reversal of 2245600 is 65422.

It is a hoax number, since the sum of its digits (19) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 5400 + ... + 5800.

It is an arithmetic number, because the mean of its divisors is an integer number (87234).

2^2245600 is an apocalyptic number.

2245600 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 2245600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3140424).

2245600 is an abundant number, since it is smaller than the sum of its proper divisors (4035248).

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

2245600 is a wasteful number, since it uses less digits than its factorization.

2245600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 2245600 is about 1498.5326155943. The cubic root of 2245600 is about 130.9515972143.

It can be divided in two parts, 224 and 5600, that multiplied together give a square (1254400 = 1120²).

The spelling of 2245600 in words is "two million, two hundred forty-five thousand, six hundred".