2034735466752 has 216 divisors, whose sum is σ = 6123941276544. Its totient is φ = 648520384512.

The previous prime is 2034735466739. The next prime is 2034735466759. The reversal of 2034735466752 is 2576645374302.

2034735466752 is a `hidden beast` number, since 2 + 0 + 3 + 47 + 3 + 546 + 6 + 7 + 52 = 666.

It is not an unprimeable number, because it can be changed into a prime (2034735466759) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 199615768 + ... + 199625960.

It is an arithmetic number, because the mean of its divisors is an integer number (28351579984).

Almost surely, 2^{2034735466752} 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 2034735466752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061970638272).

2034735466752 is an abundant number, since it is smaller than the sum of its proper divisors (4089205809792).

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

2034735466752 is a wasteful number, since it uses less digits than its factorization.

2034735466752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14005 (or 13988 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 54.

The spelling of 2034735466752 in words is "two trillion, thirty-four billion, seven hundred thirty-five million, four hundred sixty-six thousand, seven hundred fifty-two".