29922407424 has 528 divisors, whose sum is σ = 111078408000. Its totient is φ = 7886979072.

The previous prime is 29922407423. The next prime is 29922407453. The reversal of 29922407424 is 42470422992.

It is a self number, because there is not a number n which added to its sum of digits gives 29922407424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29922407423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17610927 + ... + 17612625.

Almost surely, 2^29922407424 is an apocalyptic number.

29922407424 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 29922407424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55539204000).

29922407424 is an abundant number, since it is smaller than the sum of its proper divisors (81156000576).

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

29922407424 is a wasteful number, since it uses less digits than its factorization.

29922407424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1755 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 29922407424 in words is "twenty-nine billion, nine hundred twenty-two million, four hundred seven thousand, four hundred twenty-four".