29802240000 has 720 divisors, whose sum is σ = 116414298000. Its totient is φ = 7299072000.

The previous prime is 29802239969. The next prime is 29802240029. The reversal of 29802240000 is 4220892.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 149759901 + ... + 149760099.

It is an arithmetic number, because the mean of its divisors is an integer number (161686525).

Almost surely, 2^29802240000 is an apocalyptic number.

29802240000 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 29802240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58207149000).

29802240000 is an abundant number, since it is smaller than the sum of its proper divisors (86612058000).

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

29802240000 is a wasteful number, since it uses less digits than its factorization.

29802240000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 29802240000 its reverse (4220892), we get a palindrome (29806460892).

The spelling of 29802240000 in words is "twenty-nine billion, eight hundred two million, two hundred forty thousand".