2540250538560 has 1792 divisors, whose sum is σ = 10979588505600. Its totient is φ = 547420446720.

The previous prime is 2540250538543. The next prime is 2540250538601. The reversal of 2540250538560 is 658350520452.

2540250538560 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 2 + 50 + 5 + 38 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6530206846 + ... + 6530207234.

Almost surely, 2^{2540250538560} is an apocalyptic number.

2540250538560 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 2540250538560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489794252800).

2540250538560 is an abundant number, since it is smaller than the sum of its proper divisors (8439337967040).

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

2540250538560 is an equidigital number, since it uses as much as digits as its factorization.

2540250538560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 508 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 45.

The spelling of 2540250538560 in words is "two trillion, five hundred forty billion, two hundred fifty million, five hundred thirty-eight thousand, five hundred sixty".