29810384982 has 96 divisors (see below), whose sum is σ = 77635584000. Its totient is φ = 8086927680.

The previous prime is 29810384977. The next prime is 29810384999. The reversal of 29810384982 is 28948301892.

It is a super-2 number, since 2×29810384982² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135019 + ... + 279017.

It is an arithmetic number, because the mean of its divisors is an integer number (808704000).

Almost surely, 2^29810384982 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29810384982, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38817792000).

29810384982 is an abundant number, since it is smaller than the sum of its proper divisors (47825199018).

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

29810384982 is a wasteful number, since it uses less digits than its factorization.

29810384982 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144098 (or 144095 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 29810384982 in words is "twenty-nine billion, eight hundred ten million, three hundred eighty-four thousand, nine hundred eighty-two".