2134540040 has 16 divisors (see below), whose sum is σ = 4802715180. Its totient is φ = 853816000.

The previous prime is 2134540039. The next prime is 2134540063. The reversal of 2134540040 is 400454312.

It can be written as a sum of positive squares in 2 ways, for example, as 1877835556 + 256704484 = 43334^2 + 16022^2 .

It is a super-2 number, since 2×2134540040² = 9112522364726403200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2134539988 and 2134540015.

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 3 ways as a sum of consecutive naturals, for example, 26681711 + ... + 26681790.

Almost surely, 2^2134540040 is an apocalyptic number.

2134540040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134540040 is an abundant number, since it is smaller than the sum of its proper divisors (2668175140).

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

2134540040 is a wasteful number, since it uses less digits than its factorization.

2134540040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53363512 (or 53363508 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 23.

The square root of 2134540040 is about 46201.0826712968. The cubic root of 2134540040 is about 1287.5618550733.

Adding to 2134540040 its reverse (400454312), we get a palindrome (2534994352).

The spelling of 2134540040 in words is "two billion, one hundred thirty-four million, five hundred forty thousand, forty".