29381040 has 240 divisors, whose sum is σ = 110222112. Its totient is φ = 6967296.

The previous prime is 29381039. The next prime is 29381047. The reversal of 29381040 is 4018392.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×29381040² = 1726491022963200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29380995 and 29381013.

It is not an unprimeable number, because it can be changed into a prime (29381047) 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, 402444 + ... + 402516.

Almost surely, 2^29381040 is an apocalyptic number.

29381040 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 29381040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55111056).

29381040 is an abundant number, since it is smaller than the sum of its proper divisors (80841072).

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

29381040 is a wasteful number, since it uses less digits than its factorization.

29381040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 29381040 is about 5420.4280273794. The cubic root of 29381040 is about 308.5714359200.

The spelling of 29381040 in words is "twenty-nine million, three hundred eighty-one thousand, forty".