2780405568 has 224 divisors, whose sum is σ = 8394192000. Its totient is φ = 902246400.

The previous prime is 2780405501. The next prime is 2780405569. The reversal of 2780405568 is 8655040872.

2780405568 is a `hidden beast` number, since 2 + 7 + 80 + 4 + 0 + 5 + 568 = 666.

2780405568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2780405569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15532903 + ... + 15533081.

Almost surely, 2^2780405568 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 2780405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4197096000).

2780405568 is an abundant number, since it is smaller than the sum of its proper divisors (5613786432).

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

2780405568 is a wasteful number, since it uses less digits than its factorization.

2780405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2780405568 is about 52729.5511833734. The cubic root of 2780405568 is about 1406.1642419525.

The spelling of 2780405568 in words is "two billion, seven hundred eighty million, four hundred five thousand, five hundred sixty-eight".