2241262800 has 720 divisors, whose sum is σ = 9722552320. Its totient is φ = 466560000.

The previous prime is 2241262787. The next prime is 2241262801. The reversal of 2241262800 is 82621422.

It is a happy number.

2241262800 is a `hidden beast` number, since 2 + 24 + 12 + 628 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2241262801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 14842725 + ... + 14842875.

Almost surely, 2^2241262800 is an apocalyptic number.

2241262800 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 2241262800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4861276160).

2241262800 is an abundant number, since it is smaller than the sum of its proper divisors (7481289520).

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

2241262800 is a wasteful number, since it uses less digits than its factorization.

2241262800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2241262800 is about 47341.9771450243. The cubic root of 2241262800 is about 1308.6723530368.

The spelling of 2241262800 in words is "two billion, two hundred forty-one million, two hundred sixty-two thousand, eight hundred".