2193663456 has 216 divisors, whose sum is σ = 6692278320. Its totient is φ = 680232960.

The previous prime is 2193663431. The next prime is 2193663491. The reversal of 2193663456 is 6543663912.

2193663456 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 6 + 634 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 24647860 + ... + 24647948.

It is an arithmetic number, because the mean of its divisors is an integer number (30982770).

Almost surely, 2^2193663456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2193663456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3346139160).

2193663456 is an abundant number, since it is smaller than the sum of its proper divisors (4498614864).

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

2193663456 is a wasteful number, since it uses less digits than its factorization.

2193663456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 178 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The square root of 2193663456 is about 46836.5611034798. The cubic root of 2193663456 is about 1299.3415711092.

The spelling of 2193663456 in words is "two billion, one hundred ninety-three million, six hundred sixty-three thousand, four hundred fifty-six".