2142034322032 has 120 divisors (see below), whose sum is σ = 4826020976000. Its totient is φ = 917768776320.

The previous prime is 2142034322023. The next prime is 2142034322047. The reversal of 2142034322032 is 2302234302412.

It is a super-2 number, since 2×2142034322032² (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 23 ways as a sum of consecutive naturals, for example, 7173703 + ... + 7466329.

Almost surely, 2^{2142034322032} is an apocalyptic number.

2142034322032 is a gapful number since it is divisible by the number (22) 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 2142034322032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2413010488000).

2142034322032 is an abundant number, since it is smaller than the sum of its proper divisors (2683986653968).

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

2142034322032 is a wasteful number, since it uses less digits than its factorization.

2142034322032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292875 (or 292858 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 28.

Adding to 2142034322032 its reverse (2302234302412), we get a palindrome (4444268624444).

The spelling of 2142034322032 in words is "two trillion, one hundred forty-two billion, thirty-four million, three hundred twenty-two thousand, thirty-two".