2540888568000 has 1344 divisors, whose sum is σ = 10025211181440. Its totient is φ = 629544960000.

The previous prime is 2540888567989. The next prime is 2540888568019. The reversal of 2540888568000 is 8658880452.

It is a happy number.

It is a super-2 number, since 2×2540888568000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4227767700 + ... + 4227768300.

It is an arithmetic number, because the mean of its divisors is an integer number (7459234510).

Almost surely, 2^{2540888568000} is an apocalyptic number.

2540888568000 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 2540888568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5012605590720).

2540888568000 is an abundant number, since it is smaller than the sum of its proper divisors (7484322613440).

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

2540888568000 is a wasteful number, since it uses less digits than its factorization.

2540888568000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 720 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 2540888568000 in words is "two trillion, five hundred forty billion, eight hundred eighty-eight million, five hundred sixty-eight thousand".