2729894400 has 300 divisors, whose sum is σ = 10107377082. Its totient is φ = 727695360.

The previous prime is 2729894389. The next prime is 2729894413. The reversal of 2729894400 is 44989272.

2729894400 is a `hidden beast` number, since 2 + 72 + 98 + 94 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1545433344 + 1184461056 = 39312^2 + 34416^2 .

It is a tau number, because it is divible by the number of its divisors (300).

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 29 ways as a sum of consecutive naturals, for example, 1035484 + ... + 1038116.

Almost surely, 2^2729894400 is an apocalyptic number.

2729894400 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 2729894400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5053688541).

2729894400 is an abundant number, since it is smaller than the sum of its proper divisors (7377482682).

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

2729894400 is an equidigital number, since it uses as much as digits as its factorization.

2729894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2673 (or 2643 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2729894400 is about 52248.3913627970. The cubic root of 2729894400 is about 1397.5969661011.

The spelling of 2729894400 in words is "two billion, seven hundred twenty-nine million, eight hundred ninety-four thousand, four hundred".