2281400 has 96 divisors (see below), whose sum is σ = 6227280. Its totient is φ = 768000.

The previous prime is 2281381. The next prime is 2281403. The reversal of 2281400 is 41822.

2281400 = 290² + 291² + ... + 314².

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2281403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37370 + ... + 37430.

2^2281400 is an apocalyptic number.

2281400 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 2281400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113640).

2281400 is an abundant number, since it is smaller than the sum of its proper divisors (3945880).

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

2281400 is a wasteful number, since it uses less digits than its factorization.

2281400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 2281400 is about 1510.4304022364. The cubic root of 2281400 is about 131.6438209218.

The spelling of 2281400 in words is "two million, two hundred eighty-one thousand, four hundred".