2251981124992 has 64 divisors (see below), whose sum is σ = 4743298411200. Its totient is φ = 1062028399104.

The previous prime is 2251981124983. The next prime is 2251981124999. The reversal of 2251981124992 is 2994211891522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2251981124999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1487538 + ... + 2591665.

It is an arithmetic number, because the mean of its divisors is an integer number (74114037675).

Almost surely, 2^{2251981124992} is an apocalyptic number.

It is an amenable number.

2251981124992 is an abundant number, since it is smaller than the sum of its proper divisors (2491317286208).

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

2251981124992 is a wasteful number, since it uses less digits than its factorization.

2251981124992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4079463 (or 4079451 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 55.

The spelling of 2251981124992 in words is "two trillion, two hundred fifty-one billion, nine hundred eighty-one million, one hundred twenty-four thousand, nine hundred ninety-two".