2738785680 has 120 divisors (see below), whose sum is σ = 9738843192. Its totient is φ = 687378432.

The previous prime is 2738785657. The next prime is 2738785681. The reversal of 2738785680 is 865878372.

2738785680 is a `hidden beast` number, since 2 + 7 + 3 + 8 + 78 + 568 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 966712464 + 1772073216 = 31092^2 + 42096^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is not an unprimeable number, because it can be changed into a prime (2738785681) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 99639 + ... + 124118.

Almost surely, 2^2738785680 is an apocalyptic number.

2738785680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2738785680 is an abundant number, since it is smaller than the sum of its proper divisors (7000057512).

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

2738785680 is a wasteful number, since it uses less digits than its factorization.

2738785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 223793 (or 223784 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2738785680 is about 52333.4088322173. The cubic root of 2738785680 is about 1399.1126485799.

The spelling of 2738785680 in words is "two billion, seven hundred thirty-eight million, seven hundred eighty-five thousand, six hundred eighty".