2783790720 has 256 divisors, whose sum is σ = 10002528000. Its totient is φ = 731566080.

The previous prime is 2783790661. The next prime is 2783790739. The reversal of 2783790720 is 270973872.

2783790720 is a `hidden beast` number, since 278 + 379 + 0 + 7 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1225746 + ... + 1228014.

It is an arithmetic number, because the mean of its divisors is an integer number (39072375).

Almost surely, 2^2783790720 is an apocalyptic number.

2783790720 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 2783790720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5001264000).

2783790720 is an abundant number, since it is smaller than the sum of its proper divisors (7218737280).

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

2783790720 is a wasteful number, since it uses less digits than its factorization.

2783790720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2368 (or 2350 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The square root of 2783790720 is about 52761.6406113381. The cubic root of 2783790720 is about 1406.7346802191.

The spelling of 2783790720 in words is "two billion, seven hundred eighty-three million, seven hundred ninety thousand, seven hundred twenty".