2782890720 has 72 divisors (see below), whose sum is σ = 9496619496. Its totient is φ = 742103808.

The previous prime is 2782890707. The next prime is 2782890763. The reversal of 2782890720 is 270982872.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 964842 + ... + 967721.

It is an arithmetic number, because the mean of its divisors is an integer number (131897493).

Almost surely, 2^2782890720 is an apocalyptic number.

2782890720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2782890720 is an abundant number, since it is smaller than the sum of its proper divisors (6713728776).

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

2782890720 is a wasteful number, since it uses less digits than its factorization.

2782890720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1932584 (or 1932573 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The square root of 2782890720 is about 52753.1109983099. The cubic root of 2782890720 is about 1406.5830646939.

The spelling of 2782890720 in words is "two billion, seven hundred eighty-two million, eight hundred ninety thousand, seven hundred twenty".