2735640960 has 256 divisors, whose sum is σ = 9475522560. Its totient is φ = 667312128.

The previous prime is 2735640959. The next prime is 2735640967. The reversal of 2735640960 is 690465372.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735640967) 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 31 ways as a sum of consecutive naturals, for example, 3169489 + ... + 3170351.

It is an arithmetic number, because the mean of its divisors is an integer number (37013760).

Almost surely, 2^2735640960 is an apocalyptic number.

2735640960 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 2735640960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4737761280).

2735640960 is an abundant number, since it is smaller than the sum of its proper divisors (6739881600).

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

2735640960 is a wasteful number, since it uses less digits than its factorization.

2735640960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 42.

The square root of 2735640960 is about 52303.3551505064. The cubic root of 2735640960 is about 1398.5769485655.

The spelling of 2735640960 in words is "two billion, seven hundred thirty-five million, six hundred forty thousand, nine hundred sixty".