2091564144 has 120 divisors (see below), whose sum is σ = 5985033600. Its totient is φ = 681699456.

The previous prime is 2091564131. The next prime is 2091564173. The reversal of 2091564144 is 4414651902.

2091564144 is a `hidden beast` number, since 2 + 0 + 9 + 1 + 5 + 641 + 4 + 4 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2091564099 and 2091564108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1230207 + ... + 1231905.

It is an arithmetic number, because the mean of its divisors is an integer number (49875280).

Almost surely, 2^2091564144 is an apocalyptic number.

2091564144 is a gapful number since it is divisible by the number (24) 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 2091564144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2992516800).

2091564144 is an abundant number, since it is smaller than the sum of its proper divisors (3893469456).

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

2091564144 is a wasteful number, since it uses less digits than its factorization.

2091564144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1899 (or 1890 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2091564144 is about 45733.6215928719. The cubic root of 2091564144 is about 1278.8621365759.

The spelling of 2091564144 in words is "two billion, ninety-one million, five hundred sixty-four thousand, one hundred forty-four".