2874564 has 144 divisors (see below), whose sum is σ = 9749376. Its totient is φ = 691200.

The previous prime is 2874559. The next prime is 2874569. The reversal of 2874564 is 4654782.

2874564 is a `hidden beast` number, since 28 + 74 + 564 = 666.

2874564 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2874559) and next prime (2874569).

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

It is a d-powerful number, because it can be written as 2¹³ + 8 + 7⁷ + 4⁷ + 5⁹ + 6⁵ + 4⁸ .

2874564 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (2874569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47094 + ... + 47154.

It is an arithmetic number, because the mean of its divisors is an integer number (67704).

2^2874564 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 2874564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4874688).

2874564 is an abundant number, since it is smaller than the sum of its proper divisors (6874812).

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

2874564 is a wasteful number, since it uses less digits than its factorization.

2874564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 101 counting only the distinct ones).

The product of its digits is 53760, while the sum is 36.

The square root of 2874564 is about 1695.4539215207. The cubic root of 2874564 is about 142.1861606524.

It can be divided in two parts, 287 and 4564, that added together give a triangular number (4851 = T₉₈).

The spelling of 2874564 in words is "two million, eight hundred seventy-four thousand, five hundred sixty-four".