2142523680192 has 560 divisors, whose sum is σ = 7382572341760. Its totient is φ = 601719072768.

The previous prime is 2142523680181. The next prime is 2142523680251. The reversal of 2142523680192 is 2910863252412.

2142523680192 is a `hidden beast` number, since 2 + 1 + 42 + 523 + 6 + 80 + 1 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2015543853 + ... + 2015544915.

It is an arithmetic number, because the mean of its divisors is an integer number (13183164896).

Almost surely, 2^{2142523680192} 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 2142523680192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3691286170880).

2142523680192 is an abundant number, since it is smaller than the sum of its proper divisors (5240048661568).

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

2142523680192 is a wasteful number, since it uses less digits than its factorization.

2142523680192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1971 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The spelling of 2142523680192 in words is "two trillion, one hundred forty-two billion, five hundred twenty-three million, six hundred eighty thousand, one hundred ninety-two".