1992814634880 has 512 divisors, whose sum is σ = 7433737804800. Its totient is φ = 503550812160.

The previous prime is 1992814634851. The next prime is 1992814634911. The reversal of 1992814634880 is 884364182991.

1992814634880 is a `hidden beast` number, since 1 + 9 + 9 + 2 + 8 + 146 + 3 + 488 + 0 = 666.

It is a super-2 number, since 2×1992814634880² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42502650 + ... + 42549510.

It is an arithmetic number, because the mean of its divisors is an integer number (14519019150).

Almost surely, 2^{1992814634880} is an apocalyptic number.

1992814634880 is a gapful number since it is divisible by the number (10) 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 1992814634880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3716868902400).

1992814634880 is an abundant number, since it is smaller than the sum of its proper divisors (5440923169920).

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

1992814634880 is a wasteful number, since it uses less digits than its factorization.

1992814634880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47019 (or 47001 counting only the distinct ones).

The product of its (nonzero) digits is 23887872, while the sum is 63.

The spelling of 1992814634880 in words is "one trillion, nine hundred ninety-two billion, eight hundred fourteen million, six hundred thirty-four thousand, eight hundred eighty".