2678750400 has 168 divisors, whose sum is σ = 8830533520. Its totient is φ = 710922240.

The previous prime is 2678750377. The next prime is 2678750413. The reversal of 2678750400 is 40578762.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1097982 + ... + 1100418.

Almost surely, 2^2678750400 is an apocalyptic number.

2678750400 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 2678750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415266760).

2678750400 is an abundant number, since it is smaller than the sum of its proper divisors (6151783120).

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

2678750400 is a wasteful number, since it uses less digits than its factorization.

2678750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2691 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The square root of 2678750400 is about 51756.6459500613. The cubic root of 2678750400 is about 1388.8139910070.

The spelling of 2678750400 in words is "two billion, six hundred seventy-eight million, seven hundred fifty thousand, four hundred".