2864400 has 240 divisors, whose sum is σ = 11808768. Its totient is φ = 576000.

The previous prime is 2864371. The next prime is 2864401. The reversal of 2864400 is 44682.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (2864401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 92385 + ... + 92415.

2^2864400 is an apocalyptic number.

2864400 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 2864400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5904384).

2864400 is an abundant number, since it is smaller than the sum of its proper divisors (8944368).

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

2864400 is a wasteful number, since it uses less digits than its factorization.

2864400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 2864400 is about 1692.4538398432. The cubic root of 2864400 is about 142.0183802168.

Subtracting from 2864400 its product of nonzero digits (1536), we obtain a square (2862864 = 1692²).

The spelling of 2864400 in words is "two million, eight hundred sixty-four thousand, four hundred".