2780593120 has 48 divisors (see below), whose sum is σ = 6576117408. Its totient is φ = 1111057920.

The previous prime is 2780593111. The next prime is 2780593121. The reversal of 2780593120 is 213950872.

It is a self number, because there is not a number n which added to its sum of digits gives 2780593120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780593121) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150805 + ... + 168235.

It is an arithmetic number, because the mean of its divisors is an integer number (137002446).

Almost surely, 2^2780593120 is an apocalyptic number.

2780593120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2780593120 is an abundant number, since it is smaller than the sum of its proper divisors (3795524288).

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

2780593120 is a wasteful number, since it uses less digits than its factorization.

2780593120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18443 (or 18435 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 37.

The square root of 2780593120 is about 52731.3295868784. The cubic root of 2780593120 is about 1406.1958588012.

The spelling of 2780593120 in words is "two billion, seven hundred eighty million, five hundred ninety-three thousand, one hundred twenty".