252096240 has 120 divisors (see below), whose sum is σ = 859101264. Its totient is φ = 61107200.

The previous prime is 252096239. The next prime is 252096241. The reversal of 252096240 is 42690252.

It is an interprime number because it is at equal distance from previous prime (252096239) and next prime (252096241).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 252096198 and 252096207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252096241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24700 + ... + 33380.

Almost surely, 2^252096240 is an apocalyptic number.

252096240 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 252096240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429550632).

252096240 is an abundant number, since it is smaller than the sum of its proper divisors (607005024).

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

252096240 is a wasteful number, since it uses less digits than its factorization.

252096240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8719 (or 8702 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 252096240 is about 15877.5388521017. The cubic root of 252096240 is about 631.7163577920.

The spelling of 252096240 in words is "two hundred fifty-two million, ninety-six thousand, two hundred forty".