2780964 has 18 divisors (see below), whose sum is σ = 7029750. Its totient is φ = 926976.

The previous prime is 2780951. The next prime is 2780971. The reversal of 2780964 is 4690872.

2780964 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1440000 + 1340964 = 1200^2 + 1158^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 77249 = 2780964 / (2 + 7 + 8 + 0 + 9 + 6 + 4).

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 5 ways as a sum of consecutive naturals, for example, 38589 + ... + 38660.

2^2780964 is an apocalyptic number.

It is an amenable number.

2780964 is an abundant number, since it is smaller than the sum of its proper divisors (4248786).

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

2780964 is a wasteful number, since it uses less digits than its factorization.

2780964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77259 (or 77254 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2780964 is about 1667.6222593861. The cubic root of 2780964 is about 140.6258376246.

The spelling of 2780964 in words is "two million, seven hundred eighty thousand, nine hundred sixty-four".