2523248640 has 576 divisors, whose sum is σ = 10118908800. Its totient is φ = 575078400.

The previous prime is 2523248593. The next prime is 2523248669. The reversal of 2523248640 is 468423252.

2523248640 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 2 + 4 + 8 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a junction number, because it is equal to n+sod(n) for n = 2523248595 and 2523248604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19261375 + ... + 19261505.

It is an arithmetic number, because the mean of its divisors is an integer number (17567550).

Almost surely, 2^2523248640 is an apocalyptic number.

2523248640 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 2523248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5059454400).

2523248640 is an abundant number, since it is smaller than the sum of its proper divisors (7595660160).

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

2523248640 is a wasteful number, since it uses less digits than its factorization.

2523248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 2523248640 is about 50231.9483994002. The cubic root of 2523248640 is about 1361.4029352061.

The spelling of 2523248640 in words is "two billion, five hundred twenty-three million, two hundred forty-eight thousand, six hundred forty".