2502442666752 has 288 divisors, whose sum is σ = 7876556943360. Its totient is φ = 690209095680.

The previous prime is 2502442666747. The next prime is 2502442666799. The reversal of 2502442666752 is 2576662442052.

It is a super-2 number, since 2×2502442666752² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2502442666695 and 2502442666704.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68143948 + ... + 68180660.

Almost surely, 2^{2502442666752} 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 2502442666752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3938278471680).

2502442666752 is an abundant number, since it is smaller than the sum of its proper divisors (5374114276608).

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

2502442666752 is a wasteful number, since it uses less digits than its factorization.

2502442666752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37179 (or 37165 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 51.

The spelling of 2502442666752 in words is "two trillion, five hundred two billion, four hundred forty-two million, six hundred sixty-six thousand, seven hundred fifty-two".