2501442254240 has 192 divisors, whose sum is σ = 6358228918272. Its totient is φ = 927672345600.

The previous prime is 2501442254239. The next prime is 2501442254347. The reversal of 2501442254240 is 424522441052.

It is a self number, because there is not a number n which added to its sum of digits gives 2501442254240.

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 31 ways as a sum of consecutive naturals, for example, 20669105 + ... + 20789775.

It is an arithmetic number, because the mean of its divisors is an integer number (33115775616).

Almost surely, 2^{2501442254240} is an apocalyptic number.

2501442254240 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 2501442254240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3179114459136).

2501442254240 is an abundant number, since it is smaller than the sum of its proper divisors (3856786664032).

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

2501442254240 is a wasteful number, since it uses less digits than its factorization.

2501442254240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120883 (or 120875 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 35.

Adding to 2501442254240 its reverse (424522441052), we get a palindrome (2925964695292).

The spelling of 2501442254240 in words is "two trillion, five hundred one billion, four hundred forty-two million, two hundred fifty-four thousand, two hundred forty".