2768832000 has 960 divisors, whose sum is σ = 11949949440. Its totient is φ = 608256000.

The previous prime is 2768831987. The next prime is 2768832083. The reversal of 2768832000 is 2388672.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 120383989 + ... + 120384011.

It is an arithmetic number, because the mean of its divisors is an integer number (12447864).

Almost surely, 2^2768832000 is an apocalyptic number.

2768832000 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 2768832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974974720).

2768832000 is an abundant number, since it is smaller than the sum of its proper divisors (9181117440).

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

2768832000 is a wasteful number, since it uses less digits than its factorization.

2768832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2768832000 is about 52619.6921313685. The cubic root of 2768832000 is about 1404.2104537568.

The spelling of 2768832000 in words is "two billion, seven hundred sixty-eight million, eight hundred thirty-two thousand".