2859264 has 108 divisors (see below), whose sum is σ = 8848476. Its totient is φ = 884736.

The previous prime is 2859251. The next prime is 2859271. The reversal of 2859264 is 4629582.

It is a happy number.

2859264 is a `hidden beast` number, since 2 + 8 + 592 + 64 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1937664 + 921600 = 1392^2 + 960^2 .

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 pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39132 + ... + 39204.

2^2859264 is an apocalyptic number.

2859264 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 2859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4424238).

2859264 is an abundant number, since it is smaller than the sum of its proper divisors (5989212).

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

2859264 is a wasteful number, since it uses less digits than its factorization.

2859264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 95 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 2859264 is about 1690.9358355656. The cubic root of 2859264 is about 141.9334476203.

The spelling of 2859264 in words is "two million, eight hundred fifty-nine thousand, two hundred sixty-four".