2729770512 has 320 divisors, whose sum is σ = 8886288384. Its totient is φ = 704471040.

The previous prime is 2729770507. The next prime is 2729770517. The reversal of 2729770512 is 2150779272.

It is an interprime number because it is at equal distance from previous prime (2729770507) and next prime (2729770517).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (2729770517) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21494193 + ... + 21494319.

Almost surely, 2^2729770512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729770512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4443144192).

2729770512 is an abundant number, since it is smaller than the sum of its proper divisors (6156517872).

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

2729770512 is a wasteful number, since it uses less digits than its factorization.

2729770512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 280 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 42.

The square root of 2729770512 is about 52247.2057817449. The cubic root of 2729770512 is about 1397.5758238776.

The spelling of 2729770512 in words is "two billion, seven hundred twenty-nine million, seven hundred seventy thousand, five hundred twelve".