2789753640 has 128 divisors (see below), whose sum is σ = 8559820800. Its totient is φ = 727143680.

The previous prime is 2789753627. The next prime is 2789753657. The reversal of 2789753640 is 463579872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1351249 + ... + 1353311.

It is an arithmetic number, because the mean of its divisors is an integer number (66873600).

Almost surely, 2^2789753640 is an apocalyptic number.

2789753640 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 2789753640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4279910400).

2789753640 is an abundant number, since it is smaller than the sum of its proper divisors (5770067160).

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

2789753640 is a wasteful number, since it uses less digits than its factorization.

2789753640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327 (or 2323 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 51.

The square root of 2789753640 is about 52818.1184822027. The cubic root of 2789753640 is about 1407.7383792601.

The spelling of 2789753640 in words is "two billion, seven hundred eighty-nine million, seven hundred fifty-three thousand, six hundred forty".