2977668 has 48 divisors (see below), whose sum is σ = 7840000. Its totient is φ = 977184.

The previous prime is 2977657. The next prime is 2977679. The reversal of 2977668 is 8667792.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2977657) and next prime (2977679).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (254016) is a multiple of the sum of its prime factors (441).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8358 + ... + 8706.

2^2977668 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 2977668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920000).

2977668 is an abundant number, since it is smaller than the sum of its proper divisors (4862332).

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

2977668 is a wasteful number, since it uses less digits than its factorization.

2977668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

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

The square root of 2977668 is about 1725.5920723045. The cubic root of 2977668 is about 143.8661951514.

The spelling of 2977668 in words is "two million, nine hundred seventy-seven thousand, six hundred sixty-eight".