2872400 has 60 divisors (see below), whose sum is σ = 7103712. Its totient is φ = 1115520.

The previous prime is 2872393. The next prime is 2872409. The reversal of 2872400 is 42782.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2872409) 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, 17117 + ... + 17283.

2^2872400 is an apocalyptic number.

2872400 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 2872400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3551856).

2872400 is an abundant number, since it is smaller than the sum of its proper divisors (4231312).

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

2872400 is a wasteful number, since it uses less digits than its factorization.

2872400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 23.

The square root of 2872400 is about 1694.8156241904. The cubic root of 2872400 is about 142.1504719827.

The spelling of 2872400 in words is "two million, eight hundred seventy-two thousand, four hundred".