29942280 has 96 divisors (see below), whose sum is σ = 100488960. Its totient is φ = 7724160.

The previous prime is 29942279. The next prime is 29942281. The reversal of 29942280 is 8224992.

It is an interprime number because it is at equal distance from previous prime (29942279) and next prime (29942281).

It is a super-3 number, since 3×29942280³ (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29942281) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9819 + ... + 12501.

It is an arithmetic number, because the mean of its divisors is an integer number (1046760).

Almost surely, 2^29942280 is an apocalyptic number.

29942280 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 29942280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50244480).

29942280 is an abundant number, since it is smaller than the sum of its proper divisors (70546680).

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

29942280 is a wasteful number, since it uses less digits than its factorization.

29942280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2731 (or 2724 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 29942280 is about 5471.9539471746. The cubic root of 29942280 is about 310.5238454775.

The spelling of 29942280 in words is "twenty-nine million, nine hundred forty-two thousand, two hundred eighty".