2288400 has 60 divisors (see below), whose sum is σ = 7334352. Its totient is φ = 609920.

The previous prime is 2288399. The next prime is 2288441. The reversal of 2288400 is 48822.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 247 + ... + 2153.

2^2288400 is an apocalyptic number.

2288400 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 2288400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3667176).

2288400 is an abundant number, since it is smaller than the sum of its proper divisors (5045952).

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

2288400 is a wasteful number, since it uses less digits than its factorization.

2288400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1917 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 24.

The square root of 2288400 is about 1512.7458477881. The cubic root of 2288400 is about 131.7783239852.

The spelling of 2288400 in words is "two million, two hundred eighty-eight thousand, four hundred".