2105292384 has 240 divisors, whose sum is σ = 6827646672. Its totient is φ = 632282112.

The previous prime is 2105292383. The next prime is 2105292391. The reversal of 2105292384 is 4832925012.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2105292383) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1448202 + ... + 1449654.

Almost surely, 2^2105292384 is an apocalyptic number.

2105292384 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 2105292384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3413823336).

2105292384 is an abundant number, since it is smaller than the sum of its proper divisors (4722354288).

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

2105292384 is a wasteful number, since it uses less digits than its factorization.

2105292384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1531 (or 1514 counting only the distinct ones).

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

The square root of 2105292384 is about 45883.4652571054. The cubic root of 2105292384 is about 1281.6540270958.

The spelling of 2105292384 in words is "two billion, one hundred five million, two hundred ninety-two thousand, three hundred eighty-four".