540072819 has 64 divisors (see below), whose sum is σ = 962142720. Its totient is φ = 295021440.

The previous prime is 540072811. The next prime is 540072839. The reversal of 540072819 is 918270045.

It is not a de Polignac number, because 540072819 - 2³ = 540072811 is a prime.

It is a super-2 number, since 2×540072819² = 583357299645213522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540072811) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164397 + ... + 167649.

It is an arithmetic number, because the mean of its divisors is an integer number (15033480).

Almost surely, 2^540072819 is an apocalyptic number.

540072819 is a deficient number, since it is larger than the sum of its proper divisors (422069901).

540072819 is a wasteful number, since it uses less digits than its factorization.

540072819 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3329 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 540072819 is about 23239.4668398395. The cubic root of 540072819 is about 814.3618872548.

The spelling of 540072819 in words is "five hundred forty million, seventy-two thousand, eight hundred nineteen".