2142042144 has 96 divisors (see below), whose sum is σ = 6144828480. Its totient is φ = 647961600.

The previous prime is 2142042107. The next prime is 2142042181. The reversal of 2142042144 is 4412402412.

It is an interprime number because it is at equal distance from previous prime (2142042107) and next prime (2142042181).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747274 + ... + 750134.

It is an arithmetic number, because the mean of its divisors is an integer number (64008630).

Almost surely, 2^2142042144 is an apocalyptic number.

2142042144 is a gapful number since it is divisible by the number (24) 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 2142042144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3072414240).

2142042144 is an abundant number, since it is smaller than the sum of its proper divisors (4002786336).

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

2142042144 is a wasteful number, since it uses less digits than its factorization.

2142042144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3594 (or 3586 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

The square root of 2142042144 is about 46282.2011576805. The cubic root of 2142042144 is about 1289.0685229262.

Adding to 2142042144 its reverse (4412402412), we get a palindrome (6554444556).

The spelling of 2142042144 in words is "two billion, one hundred forty-two million, forty-two thousand, one hundred forty-four".