2106452352 has 256 divisors, whose sum is σ = 6107270400. Its totient is φ = 641851392.

The previous prime is 2106452339. The next prime is 2106452363. The reversal of 2106452352 is 2532546012.

2106452352 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2106452352² = 8874283022492663808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25378903 + ... + 25378985.

It is an arithmetic number, because the mean of its divisors is an integer number (23856525).

Almost surely, 2^2106452352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2106452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3053635200).

2106452352 is an abundant number, since it is smaller than the sum of its proper divisors (4000818048).

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

2106452352 is a wasteful number, since it uses less digits than its factorization.

2106452352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2106452352 is about 45896.1038869314. The cubic root of 2106452352 is about 1281.8893712395.

Adding to 2106452352 its reverse (2532546012), we get a palindrome (4638998364).

The spelling of 2106452352 in words is "two billion, one hundred six million, four hundred fifty-two thousand, three hundred fifty-two".