2768370990 has 256 divisors, whose sum is σ = 8693415936. Its totient is φ = 547430400.

The previous prime is 2768370947. The next prime is 2768371007. The reversal of 2768370990 is 990738672.

2768370990 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4797582 + ... + 4798158.

It is an arithmetic number, because the mean of its divisors is an integer number (33958656).

Almost surely, 2^2768370990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2768370990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4346707968).

2768370990 is an abundant number, since it is smaller than the sum of its proper divisors (5925044946).

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

2768370990 is a wasteful number, since it uses less digits than its factorization.

2768370990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703.

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 2768370990 is about 52615.3113646589. The cubic root of 2768370990 is about 1404.1325158401.

The spelling of 2768370990 in words is "two billion, seven hundred sixty-eight million, three hundred seventy thousand, nine hundred ninety".