2091468384 has 384 divisors, whose sum is σ = 6949877760. Its totient is φ = 608256000.

The previous prime is 2091468383. The next prime is 2091468389. The reversal of 2091468384 is 4838641902.

It is a happy number.

2091468384 is a `hidden beast` number, since 20 + 91 + 468 + 3 + 84 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2091468383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13850709 + ... + 13850859.

It is an arithmetic number, because the mean of its divisors is an integer number (18098640).

Almost surely, 2^2091468384 is an apocalyptic number.

2091468384 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 2091468384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3474938880).

2091468384 is an abundant number, since it is smaller than the sum of its proper divisors (4858409376).

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

2091468384 is a wasteful number, since it uses less digits than its factorization.

2091468384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 2091468384 is about 45732.5746487118. The cubic root of 2091468384 is about 1278.8426191719.

It can be divided in two parts, 20914 and 68384, that added together give a palindrome (89298).

The spelling of 2091468384 in words is "two billion, ninety-one million, four hundred sixty-eight thousand, three hundred eighty-four".