2528102160 has 120 divisors (see below), whose sum is σ = 8500092120. Its totient is φ = 673376256.

The previous prime is 2528102141. The next prime is 2528102177. The reversal of 2528102160 is 612018252.

It is a happy number.

2528102160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1164720384 + 1363381776 = 34128^2 + 36924^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 883452 + ... + 886308.

It is an arithmetic number, because the mean of its divisors is an integer number (70834101).

Almost surely, 2^2528102160 is an apocalyptic number.

2528102160 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 2528102160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4250046060).

2528102160 is an abundant number, since it is smaller than the sum of its proper divisors (5971989960).

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

2528102160 is a wasteful number, since it uses less digits than its factorization.

2528102160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4105 (or 4096 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 2528102160 is about 50280.2362762945. The cubic root of 2528102160 is about 1362.2752715236.

The spelling of 2528102160 in words is "two billion, five hundred twenty-eight million, one hundred two thousand, one hundred sixty".