2770864 has 40 divisors (see below), whose sum is σ = 5812128. Its totient is φ = 1274880.

The previous prime is 2770849. The next prime is 2770883. The reversal of 2770864 is 4680772.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16509 + ... + 16675.

2^2770864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2770864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2906064).

2770864 is an abundant number, since it is smaller than the sum of its proper divisors (3041264).

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

2770864 is a wasteful number, since it uses less digits than its factorization.

2770864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 34.

The square root of 2770864 is about 1664.5912411160. The cubic root of 2770864 is about 140.4553878700.

It can be divided in two parts, 27708 and 64, that added together give a palindrome (27772).

The spelling of 2770864 in words is "two million, seven hundred seventy thousand, eight hundred sixty-four".