2142320 has 40 divisors (see below), whose sum is σ = 5074080. Its totient is φ = 840960.

The previous prime is 2142299. The next prime is 2142341. The reversal of 2142320 is 232412.

It is an interprime number because it is at equal distance from previous prime (2142299) and next prime (2142341).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 2142295 and 2142304.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4661 + ... + 5099.

It is an arithmetic number, because the mean of its divisors is an integer number (126852).

2^2142320 is an apocalyptic number.

2142320 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 2142320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537040).

2142320 is an abundant number, since it is smaller than the sum of its proper divisors (2931760).

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

2142320 is a wasteful number, since it uses less digits than its factorization.

2142320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 507 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2142320 is about 1463.6666287102. Note that the first 4 decimals coincide. The cubic root of 2142320 is about 128.9124257892.

Adding to 2142320 its reverse (232412), we get a palindrome (2374732).

The spelling of 2142320 in words is "two million, one hundred forty-two thousand, three hundred twenty".