2526280560 has 120 divisors (see below), whose sum is σ = 8610884880. Its totient is φ = 663607296.

The previous prime is 2526280501. The next prime is 2526280583. The reversal of 2526280560 is 650826252.

2526280560 is a `hidden beast` number, since 2 + 526 + 2 + 80 + 56 + 0 = 666.

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

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

It is a congruent number.

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, 22056 + ... + 74424.

It is an arithmetic number, because the mean of its divisors is an integer number (71757374).

Almost surely, 2^2526280560 is an apocalyptic number.

2526280560 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 2526280560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4305442440).

2526280560 is an abundant number, since it is smaller than the sum of its proper divisors (6084604320).

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

2526280560 is a wasteful number, since it uses less digits than its factorization.

2526280560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52455 (or 52446 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 2526280560 is about 50262.1185387166. The cubic root of 2526280560 is about 1361.9480014045.

The spelling of 2526280560 in words is "two billion, five hundred twenty-six million, two hundred eighty thousand, five hundred sixty".