2735640 has 128 divisors (see below), whose sum is σ = 9720000. Its totient is φ = 681984.

The previous prime is 2735611. The next prime is 2735641. The reversal of 2735640 is 465372.

It is a happy number.

2735640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735641) 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, 18286 + ... + 18434.

2^2735640 is an apocalyptic number.

2735640 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 2735640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4860000).

2735640 is an abundant number, since it is smaller than the sum of its proper divisors (6984360).

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

2735640 is a wasteful number, since it uses less digits than its factorization.

2735640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 2735640 is about 1653.9770252334. The cubic root of 2735640 is about 139.8576784968.

It can be divided in two parts, 2735 and 640, that added together give a cube (3375 = 15³).

The spelling of 2735640 in words is "two million, seven hundred thirty-five thousand, six hundred forty".