2193938202456 has 384 divisors, whose sum is σ = 8253066931200. Its totient is φ = 507880074240.

The previous prime is 2193938202451. The next prime is 2193938202487. The reversal of 2193938202456 is 6542028393912.

2193938202456 is a `hidden beast` number, since 2 + 1 + 9 + 393 + 8 + 2 + 0 + 245 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193938202451) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1565245 + ... + 2614931.

It is an arithmetic number, because the mean of its divisors is an integer number (21492361800).

Almost surely, 2^{2193938202456} is an apocalyptic number.

2193938202456 is a gapful number since it is divisible by the number (26) 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 2193938202456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4126533465600).

2193938202456 is an abundant number, since it is smaller than the sum of its proper divisors (6059128728744).

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

2193938202456 is a wasteful number, since it uses less digits than its factorization.

2193938202456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1049759 (or 1049752 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2193938202456 in words is "two trillion, one hundred ninety-three billion, nine hundred thirty-eight million, two hundred two thousand, four hundred fifty-six".