2793888720 has 320 divisors, whose sum is σ = 11142144000. Its totient is φ = 630249984.

The previous prime is 2793888709. The next prime is 2793888737. The reversal of 2793888720 is 278883972.

2793888720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1193311 + ... + 1195649.

It is an arithmetic number, because the mean of its divisors is an integer number (34819200).

Almost surely, 2^2793888720 is an apocalyptic number.

2793888720 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 2793888720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5571072000).

2793888720 is an abundant number, since it is smaller than the sum of its proper divisors (8348255280).

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

2793888720 is a wasteful number, since it uses less digits than its factorization.

2793888720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2447 (or 2435 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The square root of 2793888720 is about 52857.2485095469. The cubic root of 2793888720 is about 1408.4335705258.

The spelling of 2793888720 in words is "two billion, seven hundred ninety-three million, eight hundred eighty-eight thousand, seven hundred twenty".