2768304000 has 768 divisors, whose sum is σ = 11754512640. Its totient is φ = 569856000.

The previous prime is 2768303981. The next prime is 2768304023. The reversal of 2768304000 is 4038672.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25871947 + ... + 25872053.

It is an arithmetic number, because the mean of its divisors is an integer number (15305355).

Almost surely, 2^2768304000 is an apocalyptic number.

2768304000 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 2768304000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877256320).

2768304000 is an abundant number, since it is smaller than the sum of its proper divisors (8986208640).

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

2768304000 is a wasteful number, since it uses less digits than its factorization.

2768304000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 164 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2768304000 is about 52614.6747590442. The cubic root of 2768304000 is about 1404.1211898538.

The spelling of 2768304000 in words is "two billion, seven hundred sixty-eight million, three hundred four thousand".