2142105440 has 48 divisors (see below), whose sum is σ = 5063536800. Its totient is φ = 856366080.

The previous prime is 2142105421. The next prime is 2142105443. The reversal of 2142105440 is 445012412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142105443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 485645 + ... + 490035.

It is an arithmetic number, because the mean of its divisors is an integer number (105490350).

Almost surely, 2^2142105440 is an apocalyptic number.

2142105440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142105440 is an abundant number, since it is smaller than the sum of its proper divisors (2921431360).

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

2142105440 is a wasteful number, since it uses less digits than its factorization.

2142105440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7455 (or 7447 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 2142105440 is about 46282.8849576169. The cubic root of 2142105440 is about 1289.0812198562.

Adding to 2142105440 its reverse (445012412), we get a palindrome (2587117852).

The spelling of 2142105440 in words is "two billion, one hundred forty-two million, one hundred five thousand, four hundred forty".