2242992362400 has 1152 divisors, whose sum is σ = 9286843104000. Its totient is φ = 518844579840.

The previous prime is 2242992362399. The next prime is 2242992362407. The reversal of 2242992362400 is 42632992422.

2242992362400 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 9 + 9 + 236 + 2 + 400 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2242992362407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 258137256 + ... + 258145944.

It is an arithmetic number, because the mean of its divisors is an integer number (8061495750).

Almost surely, 2^{2242992362400} is an apocalyptic number.

2242992362400 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 2242992362400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4643421552000).

2242992362400 is an abundant number, since it is smaller than the sum of its proper divisors (7043850741600).

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

2242992362400 is a wasteful number, since it uses less digits than its factorization.

2242992362400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8791 (or 8772 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 2242992362400 in words is "two trillion, two hundred forty-two billion, nine hundred ninety-two million, three hundred sixty-two thousand, four hundred".