2163829019264 has 128 divisors (see below), whose sum is σ = 4954767667200. Its totient is φ = 930922675200.

The previous prime is 2163829019251. The next prime is 2163829019267. The reversal of 2163829019264 is 4629109283612.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (2163829019267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29042219 + ... + 29116629.

It is an arithmetic number, because the mean of its divisors is an integer number (38709122400).

Almost surely, 2^{2163829019264} 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 2163829019264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2477383833600).

2163829019264 is an abundant number, since it is smaller than the sum of its proper divisors (2790938647936).

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

2163829019264 is a wasteful number, since it uses less digits than its factorization.

2163829019264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75542 (or 75530 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 53.

The spelling of 2163829019264 in words is "two trillion, one hundred sixty-three billion, eight hundred twenty-nine million, nineteen thousand, two hundred sixty-four".