2289672 has 144 divisors (see below), whose sum is σ = 8002800. Its totient is φ = 584640.

The previous prime is 2289667. The next prime is 2289689. The reversal of 2289672 is 2769822.

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

It is a nude number because it is divisible by every one of its digits.

It is a d-powerful number, because it can be written as 2⁵ + 2¹³ + 8⁷ + 9⁴ + 6⁶ + 7 + 2¹⁷ .

Its product of digits (24192) is a multiple of the sum of its prime factors (96).

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 35 ways as a sum of consecutive naturals, for example, 38779 + ... + 38837.

It is an arithmetic number, because the mean of its divisors is an integer number (55575).

2^2289672 is an apocalyptic number.

2289672 is a gapful number since it is divisible by the number (22) 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 2289672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4001400).

2289672 is an abundant number, since it is smaller than the sum of its proper divisors (5713128).

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

2289672 is a wasteful number, since it uses less digits than its factorization.

2289672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 82 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The square root of 2289672 is about 1513.1662169108. The cubic root of 2289672 is about 131.8027356527.

The spelling of 2289672 in words is "two million, two hundred eighty-nine thousand, six hundred seventy-two".