2142129732600 has 768 divisors, whose sum is σ = 7942216665600. Its totient is φ = 470790144000.

The previous prime is 2142129732569. The next prime is 2142129732607. The reversal of 2142129732600 is 62379212412.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142129732607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1244699740 + ... + 1244701460.

It is an arithmetic number, because the mean of its divisors is an integer number (10341427950).

Almost surely, 2^{2142129732600} is an apocalyptic number.

2142129732600 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 2142129732600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3971108332800).

2142129732600 is an abundant number, since it is smaller than the sum of its proper divisors (5800086933000).

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

2142129732600 is a wasteful number, since it uses less digits than its factorization.

2142129732600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2016 (or 2007 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 2142129732600 in words is "two trillion, one hundred forty-two billion, one hundred twenty-nine million, seven hundred thirty-two thousand, six hundred".