29481540 has 96 divisors (see below), whose sum is σ = 94832640. Its totient is φ = 6768000.

The previous prime is 29481539. The next prime is 29481581. The reversal of 29481540 is 4518492.

It is a super-2 number, since 2×29481540² = 1738322401543200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11365 + ... + 13715.

It is an arithmetic number, because the mean of its divisors is an integer number (987840).

Almost surely, 2^29481540 is an apocalyptic number.

29481540 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 29481540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47416320).

29481540 is an abundant number, since it is smaller than the sum of its proper divisors (65351100).

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

29481540 is a wasteful number, since it uses less digits than its factorization.

29481540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2393 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The square root of 29481540 is about 5429.6905989200. The cubic root of 29481540 is about 308.9228659284.

The spelling of 29481540 in words is "twenty-nine million, four hundred eighty-one thousand, five hundred forty".