2729072640 has 480 divisors, whose sum is σ = 10460726640. Its totient is φ = 606928896.

The previous prime is 2729072639. The next prime is 2729072641. The reversal of 2729072640 is 462709272.

It is an interprime number because it is at equal distance from previous prime (2729072639) and next prime (2729072641).

It is a tau number, because it is divible by the number of its divisors (480).

It is a Saint-Exupery number, since it is equal to the product of the sides of a Pythagorean triangle: 2072 × 1960 × 672.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2729072641) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 73758702 + ... + 73758738.

Almost surely, 2^2729072640 is an apocalyptic number.

2729072640 is a gapful number since it is divisible by the number (20) 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 2729072640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5230363320).

2729072640 is an abundant number, since it is smaller than the sum of its proper divisors (7731654000).

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

2729072640 is an frugal number, since it uses more digits than its factorization.

2729072640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 39.

The square root of 2729072640 is about 52240.5267967313. The cubic root of 2729072640 is about 1397.4567159211.

The spelling of 2729072640 in words is "two billion, seven hundred twenty-nine million, seventy-two thousand, six hundred forty".