2290481971200 has 1800 divisors, whose sum is σ = 9345018380544. Its totient is φ = 552075264000.

The previous prime is 2290481971189. The next prime is 2290481971201. The reversal of 2290481971200 is 21791840922.

It is a tau number, because it is divible by the number of its divisors (1800).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2290481971201) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 17484595135 + ... + 17484595265.

Almost surely, 2^{2290481971200} is an apocalyptic number.

2290481971200 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 2290481971200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4672509190272).

2290481971200 is an abundant number, since it is smaller than the sum of its proper divisors (7054536409344).

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

2290481971200 is a wasteful number, since it uses less digits than its factorization.

2290481971200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 2290481971200 in words is "two trillion, two hundred ninety billion, four hundred eighty-one million, nine hundred seventy-one thousand, two hundred".