2089824 has 48 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 632960.

The previous prime is 2089807. The next prime is 2089831. The reversal of 2089824 is 4289802.

2089824 is nontrivially palindromic in base 7.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67 + ... + 2045.

It is an arithmetic number, because the mean of its divisors is an integer number (124740).

2^2089824 is an apocalyptic number.

2089824 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 2089824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2089824 is an abundant number, since it is smaller than the sum of its proper divisors (3897696).

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

2089824 is a wasteful number, since it uses less digits than its factorization.

2089824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2003 (or 1995 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 2089824 is about 1445.6223573257. The cubic root of 2089824 is about 127.8507374689.

The spelling of 2089824 in words is "two million, eighty-nine thousand, eight hundred twenty-four".