2890584 has 48 divisors (see below), whose sum is σ = 8244600. Its totient is φ = 912384.

The previous prime is 2890583. The next prime is 2890597. The reversal of 2890584 is 4850982.

It is a super-2 number, since 2×2890584² = 16710951722112, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2890583) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 312 + ... + 2424.

2^2890584 is an apocalyptic number.

2890584 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 2890584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4122300).

2890584 is an abundant number, since it is smaller than the sum of its proper divisors (5354016).

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

2890584 is a wasteful number, since it uses less digits than its factorization.

2890584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144 (or 2137 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2890584 is about 1700.1717560294. The cubic root of 2890584 is about 142.4498068838.

It can be divided in two parts, 28 and 90584, that multiplied together give a palindrome (2536352).

The spelling of 2890584 in words is "two million, eight hundred ninety thousand, five hundred eighty-four".