29245958240 has 96 divisors (see below), whose sum is σ = 72782115840. Its totient is φ = 11074752000.

The previous prime is 29245958227. The next prime is 29245958263. The reversal of 29245958240 is 4285954292.

It is a happy number.

It is a hoax number, since the sum of its digits (50) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5928575 + ... + 5933505.

It is an arithmetic number, because the mean of its divisors is an integer number (758147040).

Almost surely, 2^29245958240 is an apocalyptic number.

29245958240 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 29245958240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36391057920).

29245958240 is an abundant number, since it is smaller than the sum of its proper divisors (43536157600).

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

29245958240 is a wasteful number, since it uses less digits than its factorization.

29245958240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6916 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 50.

The spelling of 29245958240 in words is "twenty-nine billion, two hundred forty-five million, nine hundred fifty-eight thousand, two hundred forty".