2193431040 has 480 divisors, whose sum is σ = 8150478336. Its totient is φ = 544112640.

The previous prime is 2193431029. The next prime is 2193431047. The reversal of 2193431040 is 401343912.

2193431040 is a `hidden beast` number, since 2 + 193 + 431 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×2193431040² = 9622279454470963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2193430995 and 2193431013.

It is not an unprimeable number, because it can be changed into a prime (2193431047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26426839 + ... + 26426921.

Almost surely, 2^2193431040 is an apocalyptic number.

2193431040 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 2193431040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4075239168).

2193431040 is an abundant number, since it is smaller than the sum of its proper divisors (5957047296).

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

2193431040 is a wasteful number, since it uses less digits than its factorization.

2193431040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2193431040 is about 46834.0798991504. The cubic root of 2193431040 is about 1299.2956815973.

Adding to 2193431040 its reverse (401343912), we get a palindrome (2594774952).

The spelling of 2193431040 in words is "two billion, one hundred ninety-three million, four hundred thirty-one thousand, forty".