2523234130560 has 768 divisors, whose sum is σ = 10317330616320. Its totient is φ = 560170598400.

The previous prime is 2523234130553. The next prime is 2523234130567. The reversal of 2523234130560 is 650314323252.

2523234130560 is a `hidden beast` number, since 2 + 5 + 2 + 3 + 2 + 341 + 305 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2523234130553) and next prime (2523234130567).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2523234130567) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104595300 + ... + 104619420.

It is an arithmetic number, because the mean of its divisors is an integer number (13434024240).

Almost surely, 2^{2523234130560} is an apocalyptic number.

2523234130560 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 2523234130560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5158665308160).

2523234130560 is an abundant number, since it is smaller than the sum of its proper divisors (7794096485760).

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

2523234130560 is a wasteful number, since it uses less digits than its factorization.

2523234130560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24297 (or 24282 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 2523234130560 in words is "two trillion, five hundred twenty-three billion, two hundred thirty-four million, one hundred thirty thousand, five hundred sixty".