2780393256 has 128 divisors (see below), whose sum is σ = 7870262400. Its totient is φ = 909342720.

The previous prime is 2780393251. The next prime is 2780393261. The reversal of 2780393256 is 6523930872.

2780393256 is a `hidden beast` number, since 2 + 7 + 8 + 0 + 393 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (2780393251) and next prime (2780393261).

It is not an unprimeable number, because it can be changed into a prime (2780393251) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2744206 + ... + 2745218.

It is an arithmetic number, because the mean of its divisors is an integer number (61486425).

Almost surely, 2^2780393256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2780393256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3935131200).

2780393256 is an abundant number, since it is smaller than the sum of its proper divisors (5089869144).

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

2780393256 is a wasteful number, since it uses less digits than its factorization.

2780393256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256 (or 1246 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 2780393256 is about 52729.4344365649. The cubic root of 2780393256 is about 1406.1621663896.

The spelling of 2780393256 in words is "two billion, seven hundred eighty million, three hundred ninety-three thousand, two hundred fifty-six".