2526248960 has 128 divisors (see below), whose sum is σ = 6426624240. Its totient is φ = 950009856.

The previous prime is 2526248947. The next prime is 2526248971. The reversal of 2526248960 is 698426252.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2784827 + ... + 2785733.

Almost surely, 2^2526248960 is an apocalyptic number.

2526248960 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 2526248960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3213312120).

2526248960 is an abundant number, since it is smaller than the sum of its proper divisors (3900375280).

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

2526248960 is an frugal number, since it uses more digits than its factorization.

2526248960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 2526248960 is about 50261.8041856836. The cubic root of 2526248960 is about 1361.9423227351.

The spelling of 2526248960 in words is "two billion, five hundred twenty-six million, two hundred forty-eight thousand, nine hundred sixty".