2697768 has 48 divisors (see below), whose sum is σ = 7406100. Its totient is φ = 887040.

The previous prime is 2697767. The next prime is 2697769. The reversal of 2697768 is 8677962.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2697767) and next prime (2697769).

It can be written as a sum of positive squares in 2 ways, for example, as 2022084 + 675684 = 1422^2 + 822^2 .

It is not an unprimeable number, because it can be changed into a prime (2697763) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6198 + ... + 6618.

2^2697768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2697768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703050).

2697768 is an abundant number, since it is smaller than the sum of its proper divisors (4708332).

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

2697768 is a wasteful number, since it uses less digits than its factorization.

2697768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 515 counting only the distinct ones).

The product of its digits is 254016, while the sum is 45.

The square root of 2697768 is about 1642.4883561231. The cubic root of 2697768 is about 139.2092839626.

The spelling of 2697768 in words is "two million, six hundred ninety-seven thousand, seven hundred sixty-eight".