2107952 has 80 divisors (see below), whose sum is σ = 5356800. Its totient is φ = 779520.

The previous prime is 2107939. The next prime is 2107961. The reversal of 2107952 is 2597012.

2107952 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a d-powerful number, because it can be written as 2¹³ + 1 + 0 + 7⁴ + 9² + 5³ + 2²¹ .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35699 + ... + 35757.

It is an arithmetic number, because the mean of its divisors is an integer number (66960).

2^2107952 is an apocalyptic number.

2107952 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 2107952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678400).

2107952 is an abundant number, since it is smaller than the sum of its proper divisors (3248848).

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

2107952 is a wasteful number, since it uses less digits than its factorization.

2107952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 2107952 is about 1451.8787828190. The cubic root of 2107952 is about 128.2193504523.

The spelling of 2107952 in words is "two million, one hundred seven thousand, nine hundred fifty-two".