252105680 has 80 divisors (see below), whose sum is σ = 627340800. Its totient is φ = 93934080.

The previous prime is 252105673. The next prime is 252105709. The reversal of 252105680 is 86501252.

252105680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 91361 + ... + 94079.

It is an arithmetic number, because the mean of its divisors is an integer number (7841760).

Almost surely, 2^252105680 is an apocalyptic number.

252105680 is a gapful number since it is divisible by the number (20) 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 252105680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313670400).

252105680 is an abundant number, since it is smaller than the sum of its proper divisors (375235120).

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

252105680 is a wasteful number, since it uses less digits than its factorization.

252105680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2812 (or 2806 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 252105680 is about 15877.8361246109. The cubic root of 252105680 is about 631.7242427806.

The spelling of 252105680 in words is "two hundred fifty-two million, one hundred five thousand, six hundred eighty".