2977960 has 16 divisors (see below), whose sum is σ = 6700500. Its totient is φ = 1191168.

The previous prime is 2977951. The next prime is 2977963. The reversal of 2977960 is 697792.

It can be written as a sum of positive squares in 2 ways, for example, as 2643876 + 334084 = 1626^2 + 578^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 74449 = 2977960 / (2 + 9 + 7 + 7 + 9 + 6 + 0).

It is not an unprimeable number, because it can be changed into a prime (2977963) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 37185 + ... + 37264.

2^2977960 is an apocalyptic number.

2977960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2977960 is an abundant number, since it is smaller than the sum of its proper divisors (3722540).

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

2977960 is a wasteful number, since it uses less digits than its factorization.

2977960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74460 (or 74456 counting only the distinct ones).

The product of its (nonzero) digits is 47628, while the sum is 40.

The square root of 2977960 is about 1725.6766788712. The cubic root of 2977960 is about 143.8708976631.

The spelling of 2977960 in words is "two million, nine hundred seventy-seven thousand, nine hundred sixty".