2888400 has 120 divisors (see below), whose sum is σ = 9686880. Its totient is φ = 734720.

The previous prime is 2888387. The next prime is 2888441. The reversal of 2888400 is 48882.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-3 number, since 3×2888400³ = 72292503333312000000, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34759 + ... + 34841.

It is an arithmetic number, because the mean of its divisors is an integer number (80724).

2^2888400 is an apocalyptic number.

2888400 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 2888400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4843440).

2888400 is an abundant number, since it is smaller than the sum of its proper divisors (6798480).

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

2888400 is a wasteful number, since it uses less digits than its factorization.

2888400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The square root of 2888400 is about 1699.5293466133. The cubic root of 2888400 is about 142.4139215443.

The spelling of 2888400 in words is "two million, eight hundred eighty-eight thousand, four hundred".