2772864 has 96 divisors (see below), whose sum is σ = 8353800. Its totient is φ = 881664.

The previous prime is 2772839. The next prime is 2772881. The reversal of 2772864 is 4682772.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33367 + ... + 33449.

2^2772864 is an apocalyptic number.

2772864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2772864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4176900).

2772864 is an abundant number, since it is smaller than the sum of its proper divisors (5580936).

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

2772864 is a wasteful number, since it uses less digits than its factorization.

2772864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 117 counting only the distinct ones).

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

The square root of 2772864 is about 1665.1918808354. The cubic root of 2772864 is about 140.4891731461.

The spelling of 2772864 in words is "two million, seven hundred seventy-two thousand, eight hundred sixty-four".