29992247040 has 288 divisors, whose sum is σ = 113006186496. Its totient is φ = 6634045440.

The previous prime is 29992247039. The next prime is 29992247069. The reversal of 29992247040 is 4074229992.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 815284 + ... + 851276.

It is an arithmetic number, because the mean of its divisors is an integer number (392382592).

Almost surely, 2^29992247040 is an apocalyptic number.

29992247040 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 29992247040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56503093248).

29992247040 is an abundant number, since it is smaller than the sum of its proper divisors (83013939456).

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

29992247040 is a wasteful number, since it uses less digits than its factorization.

29992247040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36055 (or 36041 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 29992247040 in words is "twenty-nine billion, nine hundred ninety-two million, two hundred forty-seven thousand, forty".