2281600 has 96 divisors (see below), whose sum is σ = 6071040. Its totient is φ = 844800.

The previous prime is 2281579. The next prime is 2281607. The reversal of 2281600 is 61822.

2281600 = 25³ + 26³ + ... + 55³.

It is a happy number.

It is an Ulam number.

It is not an unprimeable number, because it can be changed into a prime (2281607) 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, 73585 + ... + 73615.

It is an arithmetic number, because the mean of its divisors is an integer number (63240).

2^2281600 is an apocalyptic number.

2281600 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 2281600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3035520).

2281600 is an abundant number, since it is smaller than the sum of its proper divisors (3789440).

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

2281600 is a wasteful number, since it uses less digits than its factorization.

2281600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

The square root of 2281600 is about 1510.4966070799. The cubic root of 2281600 is about 131.6476676818.

The spelling of 2281600 in words is "two million, two hundred eighty-one thousand, six hundred".