2029100291200 has 384 divisors, whose sum is σ = 5208685194240. Its totient is φ = 780668928000.

The previous prime is 2029100291177. The next prime is 2029100291209. The reversal of 2029100291200 is 21920019202.

It is not an unprimeable number, because it can be changed into a prime (2029100291209) 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, 1866697057 + ... + 1866698143.

It is an arithmetic number, because the mean of its divisors is an integer number (13564284360).

Almost surely, 2^{2029100291200} is an apocalyptic number.

2029100291200 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 2029100291200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2604342597120).

2029100291200 is an abundant number, since it is smaller than the sum of its proper divisors (3179584903040).

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

2029100291200 is a wasteful number, since it uses less digits than its factorization.

2029100291200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1376 (or 1359 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 28.

The spelling of 2029100291200 in words is "two trillion, twenty-nine billion, one hundred million, two hundred ninety-one thousand, two hundred".