2142141420 has 96 divisors (see below), whose sum is σ = 6116318208. Its totient is φ = 560051712.

The previous prime is 2142141413. The next prime is 2142141427. The reversal of 2142141420 is 241412412.

It is an interprime number because it is at equal distance from previous prime (2142141413) and next prime (2142141427).

It is not an unprimeable number, because it can be changed into a prime (2142141427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 935517 + ... + 937803.

It is an arithmetic number, because the mean of its divisors is an integer number (63711648).

Almost surely, 2^2142141420 is an apocalyptic number.

2142141420 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 2142141420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058159104).

2142141420 is an abundant number, since it is smaller than the sum of its proper divisors (3974176788).

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

2142141420 is a wasteful number, since it uses less digits than its factorization.

2142141420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2597 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 2142141420 is about 46283.2736525843. The cubic root of 2142141420 is about 1289.0884371920.

Adding to 2142141420 its reverse (241412412), we get a palindrome (2383553832).

The spelling of 2142141420 in words is "two billion, one hundred forty-two million, one hundred forty-one thousand, four hundred twenty".