29740240 has 40 divisors (see below), whose sum is σ = 69939720. Its totient is φ = 11759616.

The previous prime is 29740231. The next prime is 29740241. The reversal of 29740240 is 4204792.

It can be written as a sum of positive squares in 4 ways, for example, as 4700224 + 25040016 = 2168^2 + 5004^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 29740199 and 29740208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29740241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5032 + ... + 9208.

It is an arithmetic number, because the mean of its divisors is an integer number (1748493).

Almost surely, 2^29740240 is an apocalyptic number.

29740240 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 29740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34969860).

29740240 is an abundant number, since it is smaller than the sum of its proper divisors (40199480).

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

29740240 is a wasteful number, since it uses less digits than its factorization.

29740240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4279 (or 4273 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 29740240 is about 5453.4612861925. The cubic root of 29740240 is about 309.8238333097.

The spelling of 29740240 in words is "twenty-nine million, seven hundred forty thousand, two hundred forty".