2735774000 has 40 divisors (see below), whose sum is σ = 6615106368. Its totient is φ = 1094308800.

The previous prime is 2735773973. The next prime is 2735774003. The reversal of 2735774000 is 4775372.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (2735774003) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 681944 + ... + 685943.

Almost surely, 2^2735774000 is an apocalyptic number.

2735774000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735774000 is an abundant number, since it is smaller than the sum of its proper divisors (3879332368).

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

2735774000 is a wasteful number, since it uses less digits than its factorization.

2735774000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367910 (or 1367894 counting only the distinct ones).

The product of its (nonzero) digits is 41160, while the sum is 35.

The square root of 2735774000 is about 52304.6269463802. The cubic root of 2735774000 is about 1398.5996201153.

The spelling of 2735774000 in words is "two billion, seven hundred thirty-five million, seven hundred seventy-four thousand".