2034747092664 has 256 divisors, whose sum is σ = 6739314624000. Its totient is φ = 560664529920.

The previous prime is 2034747092663. The next prime is 2034747092669. The reversal of 2034747092664 is 4662907474302.

2034747092664 is a `hidden beast` number, since 20 + 3 + 4 + 7 + 470 + 92 + 6 + 64 = 666.

It is a super-2 number, since 2×2034747092664² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2034747092664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034747092663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1577892 + ... + 2561100.

It is an arithmetic number, because the mean of its divisors is an integer number (26325447750).

Almost surely, 2^{2034747092664} is an apocalyptic number.

2034747092664 is a gapful number since it is divisible by the number (24) 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 2034747092664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3369657312000).

2034747092664 is an abundant number, since it is smaller than the sum of its proper divisors (4704567531336).

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

2034747092664 is a wasteful number, since it uses less digits than its factorization.

2034747092664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983315 (or 983305 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 2034747092664 in words is "two trillion, thirty-four billion, seven hundred forty-seven million, ninety-two thousand, six hundred sixty-four".