2620001634401 has 2 divisors, whose sum is σ = 2620001634402. Its totient is φ = 2620001634400.

The previous prime is 2620001634373. The next prime is 2620001634407. The reversal of 2620001634401 is 1044361000262.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2444222686801 + 175778947600 = 1563401^2 + 419260^2 .

It is a cyclic number.

It is not a de Polignac number, because 2620001634401 - 2⁶ = 2620001634337 is a prime.

It is a super-2 number, since 2×2620001634401² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2620001634407) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1310000817200 + 1310000817201.

It is an arithmetic number, because the mean of its divisors is an integer number (1310000817201).

Almost surely, 2^{2620001634401} is an apocalyptic number.

It is an amenable number.

2620001634401 is a deficient number, since it is larger than the sum of its proper divisors (1).

2620001634401 is an equidigital number, since it uses as much as digits as its factorization.

2620001634401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6912, while the sum is 29.

Adding to 2620001634401 its reverse (1044361000262), we get a palindrome (3664362634663).

The spelling of 2620001634401 in words is "two trillion, six hundred twenty billion, one million, six hundred thirty-four thousand, four hundred one".