2735357640 has 64 divisors (see below), whose sum is σ = 8406236160. Its totient is φ = 711636480.

The previous prime is 2735357627. The next prime is 2735357641. The reversal of 2735357640 is 467535372.

It is a junction number, because it is equal to n+sod(n) for n = 2735357592 and 2735357601.

It is not an unprimeable number, because it can be changed into a prime (2735357641) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 273064 + ... + 282903.

It is an arithmetic number, because the mean of its divisors is an integer number (131347440).

Almost surely, 2^2735357640 is an apocalyptic number.

2735357640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2735357640 is an abundant number, since it is smaller than the sum of its proper divisors (5670878520).

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

2735357640 is a wasteful number, since it uses less digits than its factorization.

2735357640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556022 (or 556018 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 42.

The square root of 2735357640 is about 52300.6466499220. The cubic root of 2735357640 is about 1398.5286651215.

The spelling of 2735357640 in words is "two billion, seven hundred thirty-five million, three hundred fifty-seven thousand, six hundred forty".