2735504292096 has 81 divisors (see below), whose sum is σ = 7887362156401. Its totient is φ = 911808301056.

The previous prime is 2735504292049. The next prime is 2735504292113. The reversal of 2735504292096 is 6902924055372.

The square root of 2735504292096 is 1653936.

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

2735504292096 is a `hidden beast` number, since 2 + 7 + 3 + 5 + 5 + 0 + 429 + 209 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1741766457600 + 993737834496 = 1319760^2 + 996864^2 .

It is a Duffinian number.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 79371700 + ... + 79406156.

Almost surely, 2^{2735504292096} is an apocalyptic number.

2735504292096 is the 1653936-th square number.

It is an amenable number.

2735504292096 is an abundant number, since it is smaller than the sum of its proper divisors (5151857864305).

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

2735504292096 is an frugal number, since it uses more digits than its factorization.

2735504292096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68936 (or 34462 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

It can be divided in two parts, 2735504 and 292096, that added together give a square (3027600 = 1740²).

The spelling of 2735504292096 in words is "two trillion, seven hundred thirty-five billion, five hundred four million, two hundred ninety-two thousand, ninety-six".