2144262490056 has 192 divisors, whose sum is σ = 6083905464000. Its totient is φ = 681356551680.

The previous prime is 2144262490049. The next prime is 2144262490057. The reversal of 2144262490056 is 6500942624412.

It is a happy number.

2144262490056 is a `hidden beast` number, since 2 + 14 + 4 + 2 + 624 + 9 + 0 + 0 + 5 + 6 = 666.

It is a super-2 number, since 2×2144262490056² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2144262489993 and 2144262490020.

It is not an unprimeable number, because it can be changed into a prime (2144262490057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 371040975 + ... + 371046753.

It is an arithmetic number, because the mean of its divisors is an integer number (31687007625).

Almost surely, 2^{2144262490056} 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 2144262490056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3041952732000).

2144262490056 is an abundant number, since it is smaller than the sum of its proper divisors (3939642973944).

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

2144262490056 is a wasteful number, since it uses less digits than its factorization.

2144262490056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8044 (or 8037 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 2144262490056 in words is "two trillion, one hundred forty-four billion, two hundred sixty-two million, four hundred ninety thousand, fifty-six".