2242064010096 has 120 divisors (see below), whose sum is σ = 6301232481024. Its totient is φ = 744196176000.

The previous prime is 2242064010079. The next prime is 2242064010133. The reversal of 2242064010096 is 6900104602422.

2242064010096 is a `hidden beast` number, since 2 + 2 + 4 + 2 + 0 + 640 + 1 + 0 + 0 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 2242064010096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37496095 + ... + 37555841.

Almost surely, 2^{2242064010096} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242064010096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3150616240512).

2242064010096 is an abundant number, since it is smaller than the sum of its proper divisors (4059168470928).

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

2242064010096 is a wasteful number, since it uses less digits than its factorization.

2242064010096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60859 (or 60850 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 2242064010096 in words is "two trillion, two hundred forty-two billion, sixty-four million, ten thousand, ninety-six".