2725153200 has 960 divisors, whose sum is σ = 12620620800. Its totient is φ = 541900800.

The previous prime is 2725153199. The next prime is 2725153219. The reversal of 2725153200 is 23515272.

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

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, 24116344 + ... + 24116456.

It is an arithmetic number, because the mean of its divisors is an integer number (13146480).

Almost surely, 2^2725153200 is an apocalyptic number.

2725153200 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 2725153200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6310310400).

2725153200 is an abundant number, since it is smaller than the sum of its proper divisors (9895467600).

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

2725153200 is a wasteful number, since it uses less digits than its factorization.

2725153200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 2725153200 is about 52202.9999137981. Note that the first 4 decimals coincide. The cubic root of 2725153200 is about 1396.7873955240.

2725153200 divided by its product of nonzero digits (4200) gives a palindrome (648846).

Adding to 2725153200 its reverse (23515272), we get a palindrome (2748668472).

The spelling of 2725153200 in words is "two billion, seven hundred twenty-five million, one hundred fifty-three thousand, two hundred".