252218540 has 48 divisors (see below), whose sum is σ = 637190400. Its totient is φ = 81922752.

The previous prime is 252218537. The next prime is 252218543. The reversal of 252218540 is 45812252.

252218540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (252218537) and next prime (252218543).

It is a super-2 number, since 2×252218540² = 127228383839463200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (252218543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 44750 + ... + 50069.

It is an arithmetic number, because the mean of its divisors is an integer number (13274800).

Almost surely, 2^252218540 is an apocalyptic number.

252218540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252218540 is an abundant number, since it is smaller than the sum of its proper divisors (384971860).

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

252218540 is a wasteful number, since it uses less digits than its factorization.

252218540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94854 (or 94852 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 252218540 is about 15881.3897376772. The cubic root of 252218540 is about 631.8184965894.

The spelling of 252218540 in words is "two hundred fifty-two million, two hundred eighteen thousand, five hundred forty".