2729782440 has 768 divisors, whose sum is σ = 11968819200. Its totient is φ = 522547200.

The previous prime is 2729782427. The next prime is 2729782477. The reversal of 2729782440 is 442879272.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37394244 + ... + 37394316.

It is an arithmetic number, because the mean of its divisors is an integer number (15584400).

Almost surely, 2^2729782440 is an apocalyptic number.

2729782440 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 2729782440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5984409600).

2729782440 is an abundant number, since it is smaller than the sum of its proper divisors (9239036760).

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

2729782440 is a wasteful number, since it uses less digits than its factorization.

2729782440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 2729782440 is about 52247.3199312654. The cubic root of 2729782440 is about 1397.5778594896.

The spelling of 2729782440 in words is "two billion, seven hundred twenty-nine million, seven hundred eighty-two thousand, four hundred forty".