2678284400 has 60 divisors (see below), whose sum is σ = 7019551464. Its totient is φ = 973920000.

The previous prime is 2678284391. The next prime is 2678284447. The reversal of 2678284400 is 44828762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299951 + ... + 308750.

Almost surely, 2^2678284400 is an apocalyptic number.

2678284400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2678284400 is an abundant number, since it is smaller than the sum of its proper divisors (4341267064).

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

2678284400 is a wasteful number, since it uses less digits than its factorization.

2678284400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608730 (or 608719 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 41.

The square root of 2678284400 is about 51752.1439169432. The cubic root of 2678284400 is about 1388.7334528511.

The spelling of 2678284400 in words is "two billion, six hundred seventy-eight million, two hundred eighty-four thousand, four hundred".