2193764357952 has 672 divisors, whose sum is σ = 6873400934400. Its totient is φ = 692897587200.

The previous prime is 2193764357951. The next prime is 2193764357959. The reversal of 2193764357952 is 2597534673912.

2193764357952 is a `hidden beast` number, since 2 + 1 + 9 + 3 + 7 + 6 + 4 + 3 + 579 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2193764357952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2193764357951) 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, 9102756552 + ... + 9102756792.

It is an arithmetic number, because the mean of its divisors is an integer number (10228275200).

Almost surely, 2^{2193764357952} 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 2193764357952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436700467200).

2193764357952 is an abundant number, since it is smaller than the sum of its proper divisors (4679636576448).

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

2193764357952 is a wasteful number, since it uses less digits than its factorization.

2193764357952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 617 (or 595 counting only the distinct ones).

The product of its digits is 85730400, while the sum is 63.

The spelling of 2193764357952 in words is "two trillion, one hundred ninety-three billion, seven hundred sixty-four million, three hundred fifty-seven thousand, nine hundred fifty-two".