29940482880 has 1344 divisors, whose sum is σ = 136598192640. Its totient is φ = 5839257600.

The previous prime is 29940482867. The next prime is 29940482881. The reversal of 29940482880 is 8828404992.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29940482881) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 336409876 + ... + 336409964.

It is an arithmetic number, because the mean of its divisors is an integer number (101635560).

Almost surely, 2^29940482880 is an apocalyptic number.

29940482880 is a gapful number since it is divisible by the number (20) 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 29940482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299096320).

29940482880 is an abundant number, since it is smaller than the sum of its proper divisors (106657709760).

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

29940482880 is a wasteful number, since it uses less digits than its factorization.

29940482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 195 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 29940482880 in words is "twenty-nine billion, nine hundred forty million, four hundred eighty-two thousand, eight hundred eighty".