2678400 has 192 divisors, whose sum is σ = 10118400. Its totient is φ = 691200.

The previous prime is 2678399. The next prime is 2678437. The reversal of 2678400 is 48762.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 12.

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, 86385 + ... + 86415.

It is an arithmetic number, because the mean of its divisors is an integer number (52700).

2^2678400 is an apocalyptic number.

2678400 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 2678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059200).

2678400 is an abundant number, since it is smaller than the sum of its proper divisors (7440000).

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

2678400 is a wasteful number, since it uses less digits than its factorization.

2678400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2678400 is about 1636.5818036383. The cubic root of 2678400 is about 138.8753432716.

The spelling of 2678400 in words is "two million, six hundred seventy-eight thousand, four hundred".