2584038 has 24 divisors (see below), whose sum is σ = 5458968. Its totient is φ = 815328.

The previous prime is 2584037. The next prime is 2584061. The reversal of 2584038 is 8304852.

It is a junction number, because it is equal to n+sod(n) for n = 2583996 and 2584014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2584031) 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, 1570 + ... + 2762.

It is an arithmetic number, because the mean of its divisors is an integer number (227457).

2^2584038 is an apocalyptic number.

2584038 is an abundant number, since it is smaller than the sum of its proper divisors (2874930).

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

2584038 is a wasteful number, since it uses less digits than its factorization.

2584038 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1217 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 2584038 is about 1607.4943234736. The cubic root of 2584038 is about 137.2249133814.

It can be divided in two parts, 25840 and 38, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 2584038 in words is "two million, five hundred eighty-four thousand, thirty-eight".