29942980992324 has 135 divisors (see below), whose sum is σ = 79029928070247. Its totient is φ = 9885879047232.

The previous prime is 29942980992319. The next prime is 29942980992373. The reversal of 29942980992324 is 42329908924992.

The square root of 29942980992324 is 5472018.

It is a perfect power (a square), and thus also a powerful number.

29942980992324 is a `hidden beast` number, since 2 + 9 + 9 + 4 + 298 + 0 + 9 + 9 + 2 + 324 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3188431641924 + 26754549350400 = 1785618^2 + 5172480^2 .

It is a super-2 number, since 2×29942980992324² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 10736097922 + ... + 10736100710.

Almost surely, 2^{29942980992324} is an apocalyptic number.

29942980992324 is the 5472018-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29942980992324

29942980992324 is an abundant number, since it is smaller than the sum of its proper divisors (49086947077923).

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

29942980992324 is an frugal number, since it uses more digits than its factorization.

29942980992324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5812 (or 2903 counting only the distinct ones).

The product of its (nonzero) digits is 362797056, while the sum is 72.

The spelling of 29942980992324 in words is "twenty-nine trillion, nine hundred forty-two billion, nine hundred eighty million, nine hundred ninety-two thousand, three hundred twenty-four".