2766890 has 48 divisors (see below), whose sum is σ = 6020352. Its totient is φ = 896448.

The previous prime is 2766887. The next prime is 2766893. The reversal of 2766890 is 986672.

2766890 = T₃₈₀ + T₃₈₁ + ... + T₄₁₄.

2766890 = 15² + 16² + ... + 202².

It is an interprime number because it is at equal distance from previous prime (2766887) and next prime (2766893).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2766893) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 58847 + ... + 58893.

It is an arithmetic number, because the mean of its divisors is an integer number (125424).

2^2766890 is an apocalyptic number.

2766890 is an abundant number, since it is smaller than the sum of its proper divisors (3253462).

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

2766890 is a wasteful number, since it uses less digits than its factorization.

2766890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 90 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The square root of 2766890 is about 1663.3971263652. The cubic root of 2766890 is about 140.3882082504.

The spelling of 2766890 in words is "two million, seven hundred sixty-six thousand, eight hundred ninety".