2583672 has 96 divisors (see below), whose sum is σ = 8139600. Its totient is φ = 681408.

The previous prime is 2583671. The next prime is 2583703. The reversal of 2583672 is 2763852.

It is a super-2 number, since 2×2583672² = 13350722007168, which contains 22 as substring.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2583671) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 198738 + ... + 198750.

2^2583672 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 2583672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069800).

2583672 is an abundant number, since it is smaller than the sum of its proper divisors (5555928).

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

2583672 is a wasteful number, since it uses less digits than its factorization.

2583672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62 (or 25 counting only the distinct ones).

The product of its digits is 20160, while the sum is 33.

The square root of 2583672 is about 1607.3804776717. The cubic root of 2583672 is about 137.2184342855.

It can be divided in two parts, 258 and 3672, that multiplied together give a triangular number (947376 = T₁₃₇₆).

The spelling of 2583672 in words is "two million, five hundred eighty-three thousand, six hundred seventy-two".