2441252000 has 192 divisors, whose sum is σ = 6614794368. Its totient is φ = 878080000.

The previous prime is 2441251961. The next prime is 2441252017. The reversal of 2441252000 is 2521442.

It is a happy number.

It is a super-2 number, since 2×2441252000² = 11919422655008000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4971755 + ... + 4972245.

It is an arithmetic number, because the mean of its divisors is an integer number (34452054).

Almost surely, 2^2441252000 is an apocalyptic number.

2441252000 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 2441252000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307397184).

2441252000 is an abundant number, since it is smaller than the sum of its proper divisors (4173542368).

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

2441252000 is a wasteful number, since it uses less digits than its factorization.

2441252000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

The square root of 2441252000 is about 49409.0275152224. The cubic root of 2441252000 is about 1346.4933225670.

Adding to 2441252000 its reverse (2521442), we get a palindrome (2443773442).

The spelling of 2441252000 in words is "two billion, four hundred forty-one million, two hundred fifty-two thousand".