2628641030401 has 16 divisors (see below), whose sum is σ = 2715457767568. Its totient is φ = 2542663353600.

The previous prime is 2628641030387. The next prime is 2628641030413. The reversal of 2628641030401 is 1040301468262.

It can be written as a sum of positive squares in 8 ways, for example, as 15196972176 + 2613444058225 = 123276^2 + 1616615^2 .

It is a cyclic number.

It is not a de Polignac number, because 2628641030401 - 2²⁵ = 2628607475969 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2628641030101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21725011 + ... + 21845671.

It is an arithmetic number, because the mean of its divisors is an integer number (169716110473).

Almost surely, 2^{2628641030401} is an apocalyptic number.

It is an amenable number.

2628641030401 is a deficient number, since it is larger than the sum of its proper divisors (86816737167).

2628641030401 is a wasteful number, since it uses less digits than its factorization.

2628641030401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124132.

The product of its (nonzero) digits is 55296, while the sum is 37.

Adding to 2628641030401 its reverse (1040301468262), we get a palindrome (3668942498663).

The spelling of 2628641030401 in words is "two trillion, six hundred twenty-eight billion, six hundred forty-one million, thirty thousand, four hundred one".