2002167738432 has 168 divisors, whose sum is σ = 5772717062112. Its totient is φ = 663460761600.

The previous prime is 2002167738397. The next prime is 2002167738463. The reversal of 2002167738432 is 2348377612002.

2002167738432 is a `hidden beast` number, since 20 + 0 + 2 + 167 + 7 + 38 + 432 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 81472707 + ... + 81497277.

It is an arithmetic number, because the mean of its divisors is an integer number (34361411084).

Almost surely, 2^{2002167738432} 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 2002167738432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2886358531056).

2002167738432 is an abundant number, since it is smaller than the sum of its proper divisors (3770549323680).

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

2002167738432 is a wasteful number, since it uses less digits than its factorization.

2002167738432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25417 (or 25404 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 2002167738432 in words is "two trillion, two billion, one hundred sixty-seven million, seven hundred thirty-eight thousand, four hundred thirty-two".