2767980 has 24 divisors (see below), whose sum is σ = 7750512. Its totient is φ = 738112.

The previous prime is 2767949. The next prime is 2767993. The reversal of 2767980 is 897672.

2767980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 23007 + ... + 23126.

It is an arithmetic number, because the mean of its divisors is an integer number (322938).

2^2767980 is an apocalyptic number.

2767980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2767980 is an abundant number, since it is smaller than the sum of its proper divisors (4982532).

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

2767980 is a wasteful number, since it uses less digits than its factorization.

2767980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46145 (or 46143 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The square root of 2767980 is about 1663.7247368480. The cubic root of 2767980 is about 140.4066408657.

It can be divided in two parts, 276 and 7980, that added together give a triangular number (8256 = T₁₂₈).

The spelling of 2767980 in words is "two million, seven hundred sixty-seven thousand, nine hundred eighty".