2865456 has 120 divisors (see below), whose sum is σ = 9207744. Its totient is φ = 855360.

The previous prime is 2865439. The next prime is 2865463. The reversal of 2865456 is 6545682.

2865456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 2865456.

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 23 ways as a sum of consecutive naturals, for example, 42735 + ... + 42801.

2^2865456 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 2865456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4603872).

2865456 is an abundant number, since it is smaller than the sum of its proper divisors (6342288).

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

2865456 is a wasteful number, since it uses less digits than its factorization.

2865456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 83 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 2865456 is about 1692.7657841533. The cubic root of 2865456 is about 142.0358304081.

It can be divided in two parts, 2865 and 456, that added together give a triangular number (3321 = T₈₁).

The spelling of 2865456 in words is "two million, eight hundred sixty-five thousand, four hundred fifty-six".