2142834640 has 20 divisors (see below), whose sum is σ = 4982090724. Its totient is φ = 857133824.

The previous prime is 2142834569. The next prime is 2142834643. The reversal of 2142834640 is 464382412.

It can be written as a sum of positive squares in 2 ways, for example, as 467078544 + 1675756096 = 21612^2 + 40936^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 2142834596 and 2142834605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142834643) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 13392637 + ... + 13392796.

Almost surely, 2^2142834640 is an apocalyptic number.

2142834640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142834640 is an abundant number, since it is smaller than the sum of its proper divisors (2839256084).

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

2142834640 is a wasteful number, since it uses less digits than its factorization.

2142834640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26785446 (or 26785440 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

The square root of 2142834640 is about 46290.7619293526. The cubic root of 2142834640 is about 1289.2274764885.

The spelling of 2142834640 in words is "two billion, one hundred forty-two million, eight hundred thirty-four thousand, six hundred forty".