2241820800 has 504 divisors, whose sum is σ = 8579683845. Its totient is φ = 578534400.

The previous prime is 2241820771. The next prime is 2241820829. The reversal of 2241820800 is 80281422.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (2241820771) and next prime (2241820829).

It can be written as a sum of positive squares in 2 ways, for example, as 2196984384 + 44836416 = 46872^2 + 6696^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=33480.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 72316785 + ... + 72316815.

Almost surely, 2^2241820800 is an apocalyptic number.

2241820800 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 2241820800

2241820800 is an abundant number, since it is smaller than the sum of its proper divisors (6337863045).

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

2241820800 is an frugal number, since it uses more digits than its factorization.

2241820800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 2241820800 is about 47347.8700682512. The cubic root of 2241820800 is about 1308.7809493424.

Multiplying 2241820800 by its product of nonzero digits (2048), we get a square (4591248998400 = 2142720²).

The spelling of 2241820800 in words is "two billion, two hundred forty-one million, eight hundred twenty thousand, eight hundred".