2091485760 has 448 divisors, whose sum is σ = 8295436800. Its totient is φ = 434700288.

The previous prime is 2091485731. The next prime is 2091485779. The reversal of 2091485760 is 675841902.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7774906 + ... + 7775174.

It is an arithmetic number, because the mean of its divisors is an integer number (18516600).

Almost surely, 2^2091485760 is an apocalyptic number.

2091485760 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 2091485760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4147718400).

2091485760 is an abundant number, since it is smaller than the sum of its proper divisors (6203951040).

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

2091485760 is a wasteful number, since it uses less digits than its factorization.

2091485760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 2091485760 is about 45732.7646223143. The cubic root of 2091485760 is about 1278.8461607200.

The spelling of 2091485760 in words is "two billion, ninety-one million, four hundred eighty-five thousand, seven hundred sixty".