2734956590320 has 20 divisors (see below), whose sum is σ = 6358774072680. Its totient is φ = 1093982636096.

The previous prime is 2734956590287. The next prime is 2734956590351. The reversal of 2734956590320 is 230956594372.

2734956590320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 17093478610 + ... + 17093478769.

It is an arithmetic number, because the mean of its divisors is an integer number (317938703634).

Almost surely, 2^{2734956590320} is an apocalyptic number.

2734956590320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2734956590320 is an abundant number, since it is smaller than the sum of its proper divisors (3623817482360).

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

2734956590320 is a wasteful number, since it uses less digits than its factorization.

2734956590320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34186957392 (or 34186957386 counting only the distinct ones).

The product of its (nonzero) digits is 12247200, while the sum is 55.

The spelling of 2734956590320 in words is "two trillion, seven hundred thirty-four billion, nine hundred fifty-six million, five hundred ninety thousand, three hundred twenty".