2625080160 has 384 divisors, whose sum is σ = 9311791104. Its totient is φ = 618168320.

The previous prime is 2625080131. The next prime is 2625080173. The reversal of 2625080160 is 610805262.

2625080160 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 is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13325182 + ... + 13325378.

It is an arithmetic number, because the mean of its divisors is an integer number (24249456).

Almost surely, 2^2625080160 is an apocalyptic number.

2625080160 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 2625080160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4655895552).

2625080160 is an abundant number, since it is smaller than the sum of its proper divisors (6686710944).

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

2625080160 is a wasteful number, since it uses less digits than its factorization.

2625080160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 318 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2625080160 is about 51235.5361053244. The cubic root of 2625080160 is about 1379.4761296579.

The spelling of 2625080160 in words is "two billion, six hundred twenty-five million, eighty thousand, one hundred sixty".