2729949889536 has 165 divisors, whose sum is σ = 8153585318109. Its totient is φ = 909824679936.

The previous prime is 2729949889529. The next prime is 2729949889547. The reversal of 2729949889536 is 6359889499272.

The square root of 2729949889536 is 1652256.

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

2729949889536 is a `hidden beast` number, since 2 + 7 + 2 + 9 + 9 + 498 + 8 + 95 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 23740646400 + 2706209243136 = 154080^2 + 1645056^2 .

It is a Harshad number since it is a multiple of its sum of digits (81).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 475846860 + ... + 475852596.

Almost surely, 2^{2729949889536} is an apocalyptic number.

2729949889536 is the 1652256-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729949889536

2729949889536 is an abundant number, since it is smaller than the sum of its proper divisors (5423635428573).

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

2729949889536 is an frugal number, since it uses more digits than its factorization.

2729949889536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11506 (or 5742 counting only the distinct ones).

The product of its digits is 4232632320, while the sum is 81.

Multiplying 2729949889536 by its sum of digits (81), we get a square (221125941052416 = 14870304²).

2729949889536 divided by its sum of digits (81) gives a square (33703085056 = 183584²).

The spelling of 2729949889536 in words is "two trillion, seven hundred twenty-nine billion, nine hundred forty-nine million, eight hundred eighty-nine thousand, five hundred thirty-six".