2684400 has 60 divisors (see below), whose sum is σ = 8602872. Its totient is φ = 715520.

The previous prime is 2684389. The next prime is 2684401. The reversal of 2684400 is 44862.

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

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2684401) 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, 82 + ... + 2318.

2^2684400 is an apocalyptic number.

2684400 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 2684400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4301436).

2684400 is an abundant number, since it is smaller than the sum of its proper divisors (5918472).

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

2684400 is a wasteful number, since it uses less digits than its factorization.

2684400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2258 (or 2247 counting only the distinct ones).

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

The square root of 2684400 is about 1638.4138671288. The cubic root of 2684400 is about 138.9789661598.

The spelling of 2684400 in words is "two million, six hundred eighty-four thousand, four hundred".