2765319960 has 256 divisors, whose sum is σ = 9531043200. Its totient is φ = 639614976.

The previous prime is 2765319959. The next prime is 2765319967. The reversal of 2765319960 is 699135672.

2765319960 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 Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2765319967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4481572 + ... + 4482188.

Almost surely, 2^2765319960 is an apocalyptic number.

2765319960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2765319960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4765521600).

2765319960 is an abundant number, since it is smaller than the sum of its proper divisors (6765723240).

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

2765319960 is a wasteful number, since it uses less digits than its factorization.

2765319960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 657 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 48.

The square root of 2765319960 is about 52586.3096252247. The cubic root of 2765319960 is about 1403.6164933331.

The spelling of 2765319960 in words is "two billion, seven hundred sixty-five million, three hundred nineteen thousand, nine hundred sixty".