2500827160 has 128 divisors (see below), whose sum is σ = 6499180800. Its totient is φ = 857825280.

The previous prime is 2500827127. The next prime is 2500827163. The reversal of 2500827160 is 617280052.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2500827163) by changing a digit.

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, 696570 + ... + 700150.

It is an arithmetic number, because the mean of its divisors is an integer number (50774850).

Almost surely, 2^2500827160 is an apocalyptic number.

2500827160 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 2500827160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249590400).

2500827160 is an abundant number, since it is smaller than the sum of its proper divisors (3998353640).

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

2500827160 is a wasteful number, since it uses less digits than its factorization.

2500827160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701 (or 3697 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 2500827160 is about 50008.2709159195. The cubic root of 2500827160 is about 1357.3584756372.

The spelling of 2500827160 in words is "two billion, five hundred million, eight hundred twenty-seven thousand, one hundred sixty".