2725972480 has 160 divisors (see below), whose sum is σ = 8149299840. Its totient is φ = 849592320.

The previous prime is 2725972471. The next prime is 2725972531. The reversal of 2725972480 is 842795272.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2725972480.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 190206 + ... + 204034.

It is an arithmetic number, because the mean of its divisors is an integer number (50933124).

Almost surely, 2^2725972480 is an apocalyptic number.

2725972480 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 2725972480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4074649920).

2725972480 is an abundant number, since it is smaller than the sum of its proper divisors (5423327360).

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

2725972480 is a wasteful number, since it uses less digits than its factorization.

2725972480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13870 (or 13854 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 46.

The square root of 2725972480 is about 52210.8463827201. The cubic root of 2725972480 is about 1396.9273565016.

The spelling of 2725972480 in words is "two billion, seven hundred twenty-five million, nine hundred seventy-two thousand, four hundred eighty".