2029971948160 has 256 divisors, whose sum is σ = 5507474757120. Its totient is φ = 709834752000.

The previous prime is 2029971948157. The next prime is 2029971948167. The reversal of 2029971948160 is 618491799202.

It is a super-2 number, since 2×2029971948160² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2029971948095 and 2029971948104.

It is not an unprimeable number, because it can be changed into a prime (2029971948167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19274845 + ... + 19379875.

It is an arithmetic number, because the mean of its divisors is an integer number (21513573270).

Almost surely, 2^{2029971948160} is an apocalyptic number.

2029971948160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2029971948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753737378560).

2029971948160 is an abundant number, since it is smaller than the sum of its proper divisors (3477502808960).

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

2029971948160 is a wasteful number, since it uses less digits than its factorization.

2029971948160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105187 (or 105175 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 58.

The spelling of 2029971948160 in words is "two trillion, twenty-nine billion, nine hundred seventy-one million, nine hundred forty-eight thousand, one hundred sixty".