2142889421820 has 576 divisors, whose sum is σ = 7654303641600. Its totient is φ = 444896686080.

The previous prime is 2142889421809. The next prime is 2142889421867. The reversal of 2142889421820 is 281249882412.

It is a super-2 number, since 2×2142889421820² (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 191 ways as a sum of consecutive naturals, for example, 188745264 + ... + 188756616.

It is an arithmetic number, because the mean of its divisors is an integer number (13288721600).

Almost surely, 2^{2142889421820} is an apocalyptic number.

2142889421820 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 2142889421820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3827151820800).

2142889421820 is an abundant number, since it is smaller than the sum of its proper divisors (5511414219780).

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

2142889421820 is a wasteful number, since it uses less digits than its factorization.

2142889421820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11538 (or 11529 counting only the distinct ones).

The product of its (nonzero) digits is 1179648, while the sum is 51.

The spelling of 2142889421820 in words is "two trillion, one hundred forty-two billion, eight hundred eighty-nine million, four hundred twenty-one thousand, eight hundred twenty".