2240000252 has 48 divisors (see below), whose sum is σ = 4660393920. Its totient is φ = 921715200.

The previous prime is 2240000251. The next prime is 2240000261. The reversal of 2240000252 is 2520000422.

It is a super-2 number, since 2×2240000252² = 10035202257920127008, which contains 22 as substring.

2240000252 is a modest number, since divided by 252 gives 224 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 2240000252.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240000251) 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, 139352 + ... + 154592.

It is an arithmetic number, because the mean of its divisors is an integer number (97091540).

Almost surely, 2^2240000252 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240000252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2330196960).

2240000252 is an abundant number, since it is smaller than the sum of its proper divisors (2420393668).

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

2240000252 is a wasteful number, since it uses less digits than its factorization.

2240000252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15462 (or 15460 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2240000252 is about 47328.6409270328. The cubic root of 2240000252 is about 1308.4265731414.

Adding to 2240000252 its reverse (2520000422), we get a palindrome (4760000674).

The spelling of 2240000252 in words is "two billion, two hundred forty million, two hundred fifty-two", and thus it is an aban number.