2525679360 has 288 divisors, whose sum is σ = 9059662080. Its totient is φ = 666243072.

The previous prime is 2525679323. The next prime is 2525679371. The reversal of 2525679360 is 639765252.

2525679360 is a `hidden beast` number, since 2 + 52 + 567 + 9 + 36 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 3697579 + ... + 3698261.

It is an arithmetic number, because the mean of its divisors is an integer number (31457160).

Almost surely, 2^2525679360 is an apocalyptic number.

2525679360 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 2525679360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4529831040).

2525679360 is an abundant number, since it is smaller than the sum of its proper divisors (6533982720).

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

2525679360 is a wasteful number, since it uses less digits than its factorization.

2525679360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 800 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 2525679360 is about 50256.1375356284. The cubic root of 2525679360 is about 1361.8399548013.

The spelling of 2525679360 in words is "two billion, five hundred twenty-five million, six hundred seventy-nine thousand, three hundred sixty".