2029287879168 has 480 divisors, whose sum is σ = 6277400887296. Its totient is φ = 581188608000.

The previous prime is 2029287879163. The next prime is 2029287879169. The reversal of 2029287879168 is 8619787829202.

It is not an unprimeable number, because it can be changed into a prime (2029287879163) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 247741953 + ... + 247750143.

Almost surely, 2^{2029287879168} 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 2029287879168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3138700443648).

2029287879168 is an abundant number, since it is smaller than the sum of its proper divisors (4248113008128).

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

2029287879168 is a wasteful number, since it uses less digits than its factorization.

2029287879168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8308 (or 8281 counting only the distinct ones).

The product of its (nonzero) digits is 97542144, while the sum is 69.

The spelling of 2029287879168 in words is "two trillion, twenty-nine billion, two hundred eighty-seven million, eight hundred seventy-nine thousand, one hundred sixty-eight".