2091828291520 has 168 divisors, whose sum is σ = 5484337168464. Its totient is φ = 759390720000.

The previous prime is 2091828291457. The next prime is 2091828291523. The reversal of 2091828291520 is 251928281902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091828291523) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23225775 + ... + 23315665.

It is an arithmetic number, because the mean of its divisors is an integer number (32644864098).

Almost surely, 2^{2091828291520} is an apocalyptic number.

2091828291520 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 2091828291520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2742168584232).

2091828291520 is an abundant number, since it is smaller than the sum of its proper divisors (3392508876944).

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

2091828291520 is a wasteful number, since it uses less digits than its factorization.

2091828291520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90531 (or 90510 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 2091828291520 in words is "two trillion, ninety-one billion, eight hundred twenty-eight million, two hundred ninety-one thousand, five hundred twenty".