2864512 has 64 divisors (see below), whose sum is σ = 6854400. Its totient is φ = 1165824.

The previous prime is 2864479. The next prime is 2864527. The reversal of 2864512 is 2154682.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

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, 20539 + ... + 20677.

It is an arithmetic number, because the mean of its divisors is an integer number (107100).

2^2864512 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 2864512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200).

2864512 is an abundant number, since it is smaller than the sum of its proper divisors (3989888).

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

2864512 is a wasteful number, since it uses less digits than its factorization.

2864512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 171 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 2864512 is about 1692.4869275714. The cubic root of 2864512 is about 142.0202311980.

It can be divided in two parts, 28 and 64512, that multiplied together give a square (1806336 = 1344²).

The spelling of 2864512 in words is "two million, eight hundred sixty-four thousand, five hundred twelve".