2342142000 has 320 divisors, whose sum is σ = 9155128320. Its totient is φ = 567648000.

The previous prime is 2342141987. The next prime is 2342142007. The reversal of 2342142000 is 2412432.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2342142007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 592029 + ... + 595971.

It is an arithmetic number, because the mean of its divisors is an integer number (28609776).

Almost surely, 2^2342142000 is an apocalyptic number.

2342142000 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 2342142000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4577564160).

2342142000 is an abundant number, since it is smaller than the sum of its proper divisors (6812986320).

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

2342142000 is a wasteful number, since it uses less digits than its factorization.

2342142000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3964 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 2342142000 is about 48395.6816255335. The cubic root of 2342142000 is about 1328.0193633166.

Adding to 2342142000 its reverse (2412432), we get a palindrome (2344554432).

The spelling of 2342142000 in words is "two billion, three hundred forty-two million, one hundred forty-two thousand".