2678572800 has 270 divisors, whose sum is σ = 9905820848. Its totient is φ = 714147840.

The previous prime is 2678572789. The next prime is 2678572811. The reversal of 2678572800 is 82758762.

2678572800 is a `hidden beast` number, since 2 + 6 + 78 + 572 + 8 + 0 + 0 = 666.

2678572800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2678572789) and next prime (2678572811).

It is a tau number, because it is divible by the number of its divisors (270).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 515817 + ... + 520983.

Almost surely, 2^2678572800 is an apocalyptic number.

2678572800 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 2678572800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4952910424).

2678572800 is an abundant number, since it is smaller than the sum of its proper divisors (7227248048).

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

2678572800 is an equidigital number, since it uses as much as digits as its factorization.

2678572800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5205 (or 5177 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 2678572800 is about 51754.9301999336. The cubic root of 2678572800 is about 1388.7832977385.

The spelling of 2678572800 in words is "two billion, six hundred seventy-eight million, five hundred seventy-two thousand, eight hundred".