2105074752 has 252 divisors, whose sum is σ = 6486954768. Its totient is φ = 601920000.

The previous prime is 2105074729. The next prime is 2105074753. The reversal of 2105074752 is 2574705012.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (2105074753) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 8386627 + ... + 8386877.

It is an arithmetic number, because the mean of its divisors is an integer number (25741884).

Almost surely, 2^2105074752 is an apocalyptic number.

2105074752 is a gapful number since it is divisible by the number (22) 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 2105074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3243477384).

2105074752 is an abundant number, since it is smaller than the sum of its proper divisors (4381880016).

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

2105074752 is a wasteful number, since it uses less digits than its factorization.

2105074752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 2105074752 is about 45881.0936225369. The cubic root of 2105074752 is about 1281.6098624399.

Adding to 2105074752 its reverse (2574705012), we get a palindrome (4679779764).

The spelling of 2105074752 in words is "two billion, one hundred five million, seventy-four thousand, seven hundred fifty-two".