2506442102001 has 32 divisors (see below), whose sum is σ = 3771511977600. Its totient is φ = 1644907841280.

The previous prime is 2506442101997. The next prime is 2506442102033. The reversal of 2506442102001 is 1002012446052.

2506442102001 is a `hidden beast` number, since 2 + 5 + 0 + 6 + 442 + 10 + 200 + 1 = 666.

It is not a de Polignac number, because 2506442102001 - 2² = 2506442101997 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (2506442102081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1751980 + ... + 2842941.

It is an arithmetic number, because the mean of its divisors is an integer number (117859749300).

Almost surely, 2^{2506442102001} is an apocalyptic number.

It is an amenable number.

2506442102001 is a deficient number, since it is larger than the sum of its proper divisors (1265069875599).

2506442102001 is a wasteful number, since it uses less digits than its factorization.

2506442102001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4595246 (or 4595240 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 2506442102001 its reverse (1002012446052), we get a palindrome (3508454548053).

The spelling of 2506442102001 in words is "two trillion, five hundred six billion, four hundred forty-two million, one hundred two thousand, one".