2527406960 has 80 divisors (see below), whose sum is σ = 6340844160. Its totient is φ = 931338240.

The previous prime is 2527406953. The next prime is 2527406963. The reversal of 2527406960 is 696047252.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2527406963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 589625 + ... + 593895.

It is an arithmetic number, because the mean of its divisors is an integer number (79260552).

Almost surely, 2^2527406960 is an apocalyptic number.

2527406960 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 2527406960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3170422080).

2527406960 is an abundant number, since it is smaller than the sum of its proper divisors (3813437200).

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

2527406960 is a wasteful number, since it uses less digits than its factorization.

2527406960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4866 (or 4860 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 41.

The square root of 2527406960 is about 50273.3225478484. The cubic root of 2527406960 is about 1362.1503898889.

The spelling of 2527406960 in words is "two billion, five hundred twenty-seven million, four hundred six thousand, nine hundred sixty".