2735768 has 32 divisors (see below), whose sum is σ = 5988000. Its totient is φ = 1171296.

The previous prime is 2735767. The next prime is 2735797. The reversal of 2735768 is 8675372.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2735767) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2246 + ... + 3242.

It is an arithmetic number, because the mean of its divisors is an integer number (187125).

2^2735768 is an apocalyptic number.

2735768 is a gapful number since it is divisible by the number (28) 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 2735768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994000).

2735768 is an abundant number, since it is smaller than the sum of its proper divisors (3252232).

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

2735768 is an equidigital number, since it uses as much as digits as its factorization.

2735768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1006 counting only the distinct ones).

The product of its digits is 70560, while the sum is 38.

The square root of 2735768 is about 1654.0157193933. The cubic root of 2735768 is about 139.8598597662.

The spelling of 2735768 in words is "two million, seven hundred thirty-five thousand, seven hundred sixty-eight".