2193824940 has 96 divisors (see below), whose sum is σ = 6229149696. Its totient is φ = 576844800.

The previous prime is 2193824933. The next prime is 2193824989. The reversal of 2193824940 is 494283912.

Together with 4035324755 it forms a betrothed pair.

It is a junction number, because it is equal to n+sod(n) for n = 2193824892 and 2193824901.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1511215 + ... + 1512665.

It is an arithmetic number, because the mean of its divisors is an integer number (64886976).

Almost surely, 2^2193824940 is an apocalyptic number.

2193824940 is a gapful number since it is divisible by the number (20) 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 2193824940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3114574848).

2193824940 is an abundant number, since it is smaller than the sum of its proper divisors (4035324756).

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

2193824940 is a wasteful number, since it uses less digits than its factorization.

2193824940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1799 (or 1797 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 2193824940 is about 46838.2849814124. The cubic root of 2193824940 is about 1299.3734535030.

The spelling of 2193824940 in words is "two billion, one hundred ninety-three million, eight hundred twenty-four thousand, nine hundred forty".