2729244672 has 384 divisors, whose sum is σ = 10095321600. Its totient is φ = 707788800.

The previous prime is 2729244667. The next prime is 2729244677. The reversal of 2729244672 is 2764429272.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2729244667) and next prime (2729244677).

It is a tau number, because it is divible by the number of its divisors (384).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729244677) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4257472 + ... + 4258112.

It is an arithmetic number, because the mean of its divisors is an integer number (26289900).

Almost surely, 2^2729244672 is an apocalyptic number.

2729244672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2729244672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5047660800).

2729244672 is an abundant number, since it is smaller than the sum of its proper divisors (7366076928).

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

2729244672 is a wasteful number, since it uses less digits than its factorization.

2729244672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690 (or 664 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2729244672 is about 52242.1733085445. The cubic root of 2729244672 is about 1397.4860790363.

The spelling of 2729244672 in words is "two billion, seven hundred twenty-nine million, two hundred forty-four thousand, six hundred seventy-two".