2734161460900 has 243 divisors, whose sum is σ = 6308041062267. Its totient is φ = 1028627942400.

The previous prime is 2734161460889. The next prime is 2734161460951. The reversal of 2734161460900 is 90641614372.

The square root of 2734161460900 is 1653530.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 40 ways, for example, as 2727762740836 + 6398720064 = 1651594^2 + 79992^2 .

It is a Duffinian number.

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 80 ways as a sum of consecutive naturals, for example, 25084050046 + ... + 25084050154.

Almost surely, 2^{2734161460900} is an apocalyptic number.

2734161460900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2734161460900 is the 1653530-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2734161460900

2734161460900 is an abundant number, since it is smaller than the sum of its proper divisors (3573879601367).

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

2734161460900 is a wasteful number, since it uses less digits than its factorization.

2734161460900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 43.

The spelling of 2734161460900 in words is "two trillion, seven hundred thirty-four billion, one hundred sixty-one million, four hundred sixty thousand, nine hundred".