29740538016 has 240 divisors, whose sum is σ = 102401893440. Its totient is φ = 8289838080.

The previous prime is 29740537979. The next prime is 29740538027. The reversal of 29740538016 is 61083504792.

It is a super-2 number, since 2×29740538016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 723915 + ... + 763893.

It is an arithmetic number, because the mean of its divisors is an integer number (426674556).

It is a 2-persistent number, because it is pandigital, and so is 2⋅29740538016 = 59481076032, but 3⋅29740538016 = 89221614048 is not.

Almost surely, 2^29740538016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29740538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51200946720).

29740538016 is an abundant number, since it is smaller than the sum of its proper divisors (72661355424).

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

29740538016 is a wasteful number, since it uses less digits than its factorization.

29740538016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40049 (or 40032 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 29740538016 in words is "twenty-nine billion, seven hundred forty million, five hundred thirty-eight thousand, sixteen".