2727872000 has 160 divisors (see below), whose sum is σ = 7775127360. Its totient is φ = 935116800.

The previous prime is 2727871997. The next prime is 2727872029. The reversal of 2727872000 is 2787272.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 444956 + ... + 451044.

It is an arithmetic number, because the mean of its divisors is an integer number (48594546).

Almost surely, 2^2727872000 is an apocalyptic number.

2727872000 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 2727872000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3887563680).

2727872000 is an abundant number, since it is smaller than the sum of its proper divisors (5047255360).

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

2727872000 is an frugal number, since it uses more digits than its factorization.

2727872000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6129 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 21952, while the sum is 35.

The square root of 2727872000 is about 52229.0340710988. The cubic root of 2727872000 is about 1397.2517514802.

The spelling of 2727872000 in words is "two billion, seven hundred twenty-seven million, eight hundred seventy-two thousand".