2142041000 has 256 divisors, whose sum is σ = 5932742400. Its totient is φ = 715392000.

The previous prime is 2142040973. The next prime is 2142041003. The reversal of 2142041000 is 1402412.

It is not an unprimeable number, because it can be changed into a prime (2142041003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7732862 + ... + 7733138.

It is an arithmetic number, because the mean of its divisors is an integer number (23174775).

Almost surely, 2^2142041000 is an apocalyptic number.

2142041000 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 2142041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966371200).

2142041000 is an abundant number, since it is smaller than the sum of its proper divisors (3790701400).

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

2142041000 is a wasteful number, since it uses less digits than its factorization.

2142041000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2142041000 is about 46282.1887987161. The cubic root of 2142041000 is about 1289.0682934420.

Adding to 2142041000 its reverse (1402412), we get a palindrome (2143443412).

The spelling of 2142041000 in words is "two billion, one hundred forty-two million, forty-one thousand".