2725812000 has 480 divisors, whose sum is σ = 10274584320. Its totient is φ = 707443200.

The previous prime is 2725811983. The next prime is 2725812013. The reversal of 2725812000 is 2185272.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 15227911 + ... + 15228089.

It is an arithmetic number, because the mean of its divisors is an integer number (21405384).

Almost surely, 2^2725812000 is an apocalyptic number.

2725812000 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 2725812000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5137292160).

2725812000 is an abundant number, since it is smaller than the sum of its proper divisors (7548772320).

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

2725812000 is a wasteful number, since it uses less digits than its factorization.

2725812000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 236 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2725812000 is about 52209.3095146833. The cubic root of 2725812000 is about 1396.8999432508.

Adding to 2725812000 its reverse (2185272), we get a palindrome (2727997272).

The spelling of 2725812000 in words is "two billion, seven hundred twenty-five million, eight hundred twelve thousand".