29874240000 has 1200 divisors, whose sum is σ = 125635333824. Its totient is φ = 6758400000.

The previous prime is 29874239963. The next prime is 29874240001. The reversal of 29874240000 is 4247892.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (29874240001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 728639980 + ... + 728640020.

Almost surely, 2^29874240000 is an apocalyptic number.

29874240000 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 29874240000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62817666912).

29874240000 is an abundant number, since it is smaller than the sum of its proper divisors (95761093824).

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

29874240000 is a wasteful number, since it uses less digits than its factorization.

29874240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 29874240000 its reverse (4247892), we get a palindrome (29878487892).

The spelling of 29874240000 in words is "twenty-nine billion, eight hundred seventy-four million, two hundred forty thousand".