2241796800 has 336 divisors, whose sum is σ = 7905244032. Its totient is φ = 554188800.

The previous prime is 2241796771. The next prime is 2241796847. The reversal of 2241796800 is 86971422.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6772635 + ... + 6772965.

It is an arithmetic number, because the mean of its divisors is an integer number (23527512).

Almost surely, 2^2241796800 is an apocalyptic number.

2241796800 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 2241796800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3952622016).

2241796800 is an abundant number, since it is smaller than the sum of its proper divisors (5663447232).

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

2241796800 is a wasteful number, since it uses less digits than its factorization.

2241796800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 2241796800 is about 47347.6166242822. The cubic root of 2241796800 is about 1308.7762789044.

The spelling of 2241796800 in words is "two billion, two hundred forty-one million, seven hundred ninety-six thousand, eight hundred".