2091674760480 has 288 divisors, whose sum is σ = 7160069380464. Its totient is φ = 556045959168.

The previous prime is 2091674760457. The next prime is 2091674760517. The reversal of 2091674760480 is 840674761902.

2091674760480 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 67 + 47 + 60 + 480 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 2082907059984 + 8767700496 = 1443228^2 + 93636^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 858297822 + ... + 858300258.

Almost surely, 2^{2091674760480} is an apocalyptic number.

2091674760480 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 2091674760480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580034690232).

2091674760480 is an abundant number, since it is smaller than the sum of its proper divisors (5068394619984).

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

2091674760480 is a wasteful number, since it uses less digits than its factorization.

2091674760480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4068 (or 4057 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 2091674760480 in words is "two trillion, ninety-one billion, six hundred seventy-four million, seven hundred sixty thousand, four hundred eighty".