2746507544634 has 128 divisors (see below), whose sum is σ = 6408623370240. Its totient is φ = 768519360000.

The previous prime is 2746507544621. The next prime is 2746507544653. The reversal of 2746507544634 is 4364457056472.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 291154782 + ... + 291164214.

It is an arithmetic number, because the mean of its divisors is an integer number (50067370080).

Almost surely, 2^{2746507544634} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2746507544634, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3204311685120).

2746507544634 is an abundant number, since it is smaller than the sum of its proper divisors (3662115825606).

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

2746507544634 is a wasteful number, since it uses less digits than its factorization.

2746507544634 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10156.

The product of its (nonzero) digits is 67737600, while the sum is 57.

The spelling of 2746507544634 in words is "two trillion, seven hundred forty-six billion, five hundred seven million, five hundred forty-four thousand, six hundred thirty-four".