2870400 has 192 divisors, whose sum is σ = 10624320. Its totient is φ = 675840.

The previous prime is 2870393. The next prime is 2870401. The reversal of 2870400 is 40782.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2870401) 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, 124789 + ... + 124811.

It is an arithmetic number, because the mean of its divisors is an integer number (55335).

2^2870400 is an apocalyptic number.

2870400 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 2870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5312160).

2870400 is an abundant number, since it is smaller than the sum of its proper divisors (7753920).

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

2870400 is a wasteful number, since it uses less digits than its factorization.

2870400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2870400 is about 1694.2254867638. The cubic root of 2870400 is about 142.1174720577.

The spelling of 2870400 in words is "two million, eight hundred seventy thousand, four hundred".