29972049819 has 16 divisors (see below), whose sum is σ = 40762477344. Its totient is φ = 19583827200.

The previous prime is 29972049803. The next prime is 29972049841. The reversal of 29972049819 is 91894027992.

It is not a de Polignac number, because 29972049819 - 2⁴ = 29972049803 is a prime.

It is a super-3 number, since 3×29972049819³ (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (29972042819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 240004 + ... + 342849.

It is an arithmetic number, because the mean of its divisors is an integer number (2547654834).

Almost surely, 2^29972049819 is an apocalyptic number.

29972049819 is a deficient number, since it is larger than the sum of its proper divisors (10790427525).

29972049819 is a wasteful number, since it uses less digits than its factorization.

29972049819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583198.

The product of its (nonzero) digits is 5878656, while the sum is 60.

The spelling of 29972049819 in words is "twenty-nine billion, nine hundred seventy-two million, forty-nine thousand, eight hundred nineteen".