2142732554820 has 576 divisors, whose sum is σ = 8138886013440. Its totient is φ = 448284672000.

The previous prime is 2142732554719. The next prime is 2142732554849. The reversal of 2142732554820 is 284552372412.

2142732554820 is a `hidden beast` number, since 2 + 1 + 4 + 2 + 73 + 2 + 554 + 8 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 66058366 + ... + 66090794.

It is an arithmetic number, because the mean of its divisors is an integer number (14130010440).

Almost surely, 2^{2142732554820} is an apocalyptic number.

2142732554820 is a gapful number since it is divisible by the number (20) 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 2142732554820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4069443006720).

2142732554820 is an abundant number, since it is smaller than the sum of its proper divisors (5996153458620).

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

2142732554820 is a wasteful number, since it uses less digits than its factorization.

2142732554820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32636 (or 32631 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 45.

The spelling of 2142732554820 in words is "two trillion, one hundred forty-two billion, seven hundred thirty-two million, five hundred fifty-four thousand, eight hundred twenty".