2032642938168 has 128 divisors (see below), whose sum is σ = 5944056192000. Its totient is φ = 641816421120.

The previous prime is 2032642938133. The next prime is 2032642938223. The reversal of 2032642938168 is 8618392462302.

2032642938168 is a `hidden beast` number, since 2 + 0 + 3 + 26 + 429 + 38 + 168 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 47055396 + ... + 47098572.

It is an arithmetic number, because the mean of its divisors is an integer number (46437939000).

Almost surely, 2^{2032642938168} 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 2032642938168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2972028096000).

2032642938168 is an abundant number, since it is smaller than the sum of its proper divisors (3911413253832).

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

2032642938168 is a wasteful number, since it uses less digits than its factorization.

2032642938168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54682 (or 54672 counting only the distinct ones).

The product of its (nonzero) digits is 5971968, while the sum is 54.

The spelling of 2032642938168 in words is "two trillion, thirty-two billion, six hundred forty-two million, nine hundred thirty-eight thousand, one hundred sixty-eight".