2281380400 has 120 divisors (see below), whose sum is σ = 5936120064. Its totient is φ = 837580800.

The previous prime is 2281380397. The next prime is 2281380403. The reversal of 2281380400 is 40831822.

2281380400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2281380397) and next prime (2281380403).

It is not an unprimeable number, because it can be changed into a prime (2281380403) 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, 992052 + ... + 994348.

Almost surely, 2^2281380400 is an apocalyptic number.

2281380400 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 2281380400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2968060032).

2281380400 is an abundant number, since it is smaller than the sum of its proper divisors (3654739664).

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

2281380400 is a wasteful number, since it uses less digits than its factorization.

2281380400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2519 (or 2508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 2281380400 is about 47763.7980064400. The cubic root of 2281380400 is about 1316.4344392726.

The spelling of 2281380400 in words is "two billion, two hundred eighty-one million, three hundred eighty thousand, four hundred".