29724982944984 has 384 divisors, whose sum is σ = 87711381576000. Its totient is φ = 9071419392000.

The previous prime is 29724982944967. The next prime is 29724982945003. The reversal of 29724982944984 is 48944928942792.

29724982944984 is a `hidden beast` number, since 2 + 9 + 7 + 2 + 4 + 98 + 2 + 9 + 449 + 84 = 666.

It is a super-2 number, since 2×29724982944984² (a number of 28 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 (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3329033832 + ... + 3329042760.

Almost surely, 2^{29724982944984} is an apocalyptic number.

29724982944984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29724982944984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43855690788000).

29724982944984 is an abundant number, since it is smaller than the sum of its proper divisors (57986398631016).

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

29724982944984 is a wasteful number, since it uses less digits than its factorization.

29724982944984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10099 (or 10092 counting only the distinct ones).

The product of its digits is 6019743744, while the sum is 81.

The spelling of 29724982944984 in words is "twenty-nine trillion, seven hundred twenty-four billion, nine hundred eighty-two million, nine hundred forty-four thousand, nine hundred eighty-four".