252120240 has 120 divisors (see below), whose sum is σ = 855333648. Its totient is φ = 66547200.

The previous prime is 252120233. The next prime is 252120277. The reversal of 252120240 is 42021252.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 70987 + ... + 74453.

Almost surely, 2^252120240 is an apocalyptic number.

252120240 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 252120240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427666824).

252120240 is an abundant number, since it is smaller than the sum of its proper divisors (603213408).

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

252120240 is a wasteful number, since it uses less digits than its factorization.

252120240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3587 (or 3578 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 252120240 is about 15878.2946187555. The cubic root of 252120240 is about 631.7364039874.

Adding to 252120240 its reverse (42021252), we get a palindrome (294141492).

The spelling of 252120240 in words is "two hundred fifty-two million, one hundred twenty thousand, two hundred forty".