29282113332240 has 640 divisors, whose sum is σ = 97763982704640. Its totient is φ = 7237661491200.

The previous prime is 29282113332119. The next prime is 29282113332379. The reversal of 29282113332240 is 4223331128292.

It is a super-2 number, since 2×29282113332240² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 29282113332192 and 29282113332201.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3401333056 + ... + 3401341664.

It is an arithmetic number, because the mean of its divisors is an integer number (152756222976).

Almost surely, 2^{29282113332240} is an apocalyptic number.

29282113332240 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 29282113332240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48881991352320).

29282113332240 is an abundant number, since it is smaller than the sum of its proper divisors (68481869372400).

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

29282113332240 is a wasteful number, since it uses less digits than its factorization.

29282113332240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8911 (or 8905 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 29282113332240 in words is "twenty-nine trillion, two hundred eighty-two billion, one hundred thirteen million, three hundred thirty-two thousand, two hundred forty".