2502785668608 has 320 divisors, whose sum is σ = 7687690813440. Its totient is φ = 803096985600.

The previous prime is 2502785668589. The next prime is 2502785668609. The reversal of 2502785668608 is 8068665872052.

2502785668608 is a `hidden beast` number, since 2 + 5 + 0 + 2 + 7 + 8 + 566 + 8 + 60 + 8 = 666.

It is a super-2 number, since 2×2502785668608² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2502785668609) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 81836616 + ... + 81867192.

It is an arithmetic number, because the mean of its divisors is an integer number (24024033792).

Almost surely, 2^{2502785668608} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2502785668608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843845406720).

2502785668608 is an abundant number, since it is smaller than the sum of its proper divisors (5184905144832).

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

2502785668608 is a wasteful number, since it uses less digits than its factorization.

2502785668608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30826 (or 30804 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 2502785668608 in words is "two trillion, five hundred two billion, seven hundred eighty-five million, six hundred sixty-eight thousand, six hundred eight".