2131824 has 40 divisors (see below), whose sum is σ = 5749632. Its totient is φ = 679360.

The previous prime is 2131823. The next prime is 2131837. The reversal of 2131824 is 4281312.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2131824.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2131823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 139 + ... + 2069.

2^2131824 is an apocalyptic number.

2131824 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 2131824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874816).

2131824 is an abundant number, since it is smaller than the sum of its proper divisors (3617808).

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

2131824 is a wasteful number, since it uses less digits than its factorization.

2131824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1959 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 2131824 is about 1460.0767103135. The cubic root of 2131824 is about 128.7015515076.

The spelling of 2131824 in words is "two million, one hundred thirty-one thousand, eight hundred twenty-four".