2782764 has 36 divisors (see below), whose sum is σ = 7449624. Its totient is φ = 872832.

The previous prime is 2782757. The next prime is 2782771. The reversal of 2782764 is 4672872.

2782764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2782757) and next prime (2782771).

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 2¹⁰ + 7² + 8⁶ + 2¹⁴ + 7⁷ + 6⁸ + 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 11 ways as a sum of consecutive naturals, for example, 1662 + ... + 2885.

It is an arithmetic number, because the mean of its divisors is an integer number (206934).

2^2782764 is an apocalyptic number.

It is an amenable number.

2782764 is an abundant number, since it is smaller than the sum of its proper divisors (4666860).

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

2782764 is a wasteful number, since it uses less digits than its factorization.

2782764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4574 (or 4569 counting only the distinct ones).

The product of its digits is 37632, while the sum is 36.

The square root of 2782764 is about 1668.1618626500. The cubic root of 2782764 is about 140.6561714603.

The spelling of 2782764 in words is "two million, seven hundred eighty-two thousand, seven hundred sixty-four".