2090129708800 has 648 divisors, whose sum is σ = 6387123135456. Its totient is φ = 661059010560.

The previous prime is 2090129708731. The next prime is 2090129708833. The reversal of 2090129708800 is 88079210902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2139333912 + ... + 2139334888.

Almost surely, 2^{2090129708800} is an apocalyptic number.

2090129708800 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 2090129708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3193561567728).

2090129708800 is an abundant number, since it is smaller than the sum of its proper divisors (4296993426656).

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

2090129708800 is an equidigital number, since it uses as much as digits as its factorization.

2090129708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 46.

It can be divided in two parts, 2090129 and 708800, that added together give a square (2798929 = 1673²).

The spelling of 2090129708800 in words is "two trillion, ninety billion, one hundred twenty-nine million, seven hundred eight thousand, eight hundred".