2520259560 has 384 divisors, whose sum is σ = 10614240000. Its totient is φ = 503635968.

The previous prime is 2520259549. The next prime is 2520259597. The reversal of 2520259560 is 659520252.

2520259560 is a `hidden beast` number, since 2 + 5 + 2 + 0 + 2 + 595 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 620416 + ... + 624464.

It is an arithmetic number, because the mean of its divisors is an integer number (27641250).

Almost surely, 2^2520259560 is an apocalyptic number.

2520259560 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 2520259560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5307120000).

2520259560 is an abundant number, since it is smaller than the sum of its proper divisors (8093980440).

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

2520259560 is a wasteful number, since it uses less digits than its factorization.

2520259560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4105 (or 4098 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The square root of 2520259560 is about 50202.1868049590. The cubic root of 2520259560 is about 1360.8651430192.

The spelling of 2520259560 in words is "two billion, five hundred twenty million, two hundred fifty-nine thousand, five hundred sixty".