2241883072800 has 2160 divisors, whose sum is σ = 9987078911040. Its totient is φ = 479026483200.

The previous prime is 2241883072789. The next prime is 2241883072811. The reversal of 2241883072800 is 82703881422.

2241883072800 is a `hidden beast` number, since 2 + 241 + 88 + 307 + 28 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2241883072789) and next prime (2241883072811).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 16128655131 + ... + 16128655269.

It is an arithmetic number, because the mean of its divisors is an integer number (4623647644).

Almost surely, 2^{2241883072800} is an apocalyptic number.

2241883072800 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 2241883072800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993539455520).

2241883072800 is an abundant number, since it is smaller than the sum of its proper divisors (7745195838240).

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

2241883072800 is a wasteful number, since it uses less digits than its factorization.

2241883072800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 2241883072800 in words is "two trillion, two hundred forty-one billion, eight hundred eighty-three million, seventy-two thousand, eight hundred".