2142304040 has 32 divisors (see below), whose sum is σ = 4822492680. Its totient is φ = 856511232.

The previous prime is 2142304027. The next prime is 2142304123. The reversal of 2142304040 is 404032412.

It can be written as a sum of positive squares in 4 ways, for example, as 1811864356 + 330439684 = 42566^2 + 18178^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80042 + ... + 103398.

Almost surely, 2^2142304040 is an apocalyptic number.

2142304040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142304040 is an abundant number, since it is smaller than the sum of its proper divisors (2680188640).

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

2142304040 is a wasteful number, since it uses less digits than its factorization.

2142304040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25661 (or 25657 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 2142304040 is about 46285.0304094099. The cubic root of 2142304040 is about 1289.1210566159.

Adding to 2142304040 its reverse (404032412), we get a palindrome (2546336452).

The spelling of 2142304040 in words is "two billion, one hundred forty-two million, three hundred four thousand, forty".