2091791520 has 768 divisors, whose sum is σ = 9571322880. Its totient is φ = 414056448.

The previous prime is 2091791509. The next prime is 2091791549. The reversal of 2091791520 is 251971902.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 6682884 + ... + 6683196.

It is an arithmetic number, because the mean of its divisors is an integer number (12462660).

Almost surely, 2^2091791520 is an apocalyptic number.

2091791520 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 2091791520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4785661440).

2091791520 is an abundant number, since it is smaller than the sum of its proper divisors (7479531360).

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

2091791520 is a wasteful number, since it uses less digits than its factorization.

2091791520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 2091791520 is about 45736.1073988594. The cubic root of 2091791520 is about 1278.9084770179.

The spelling of 2091791520 in words is "two billion, ninety-one million, seven hundred ninety-one thousand, five hundred twenty".