2628629192261 has 8 divisors (see below), whose sum is σ = 2633994594840. Its totient is φ = 2623268164608.

The previous prime is 2628629192239. The next prime is 2628629192291. The reversal of 2628629192261 is 1622919268262.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1981425032161 + 647204160100 = 1407631^2 + 804490^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2628629192261 - 2¹⁸ = 2628628930117 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2628629192197 and 2628629192206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2628629192291) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110525 + ... + 2295533.

It is an arithmetic number, because the mean of its divisors is an integer number (329249324355).

Almost surely, 2^{2628629192261} is an apocalyptic number.

It is an amenable number.

2628629192261 is a deficient number, since it is larger than the sum of its proper divisors (5365402579).

2628629192261 is a wasteful number, since it uses less digits than its factorization.

2628629192261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2187463.

The product of its digits is 4478976, while the sum is 56.

The spelling of 2628629192261 in words is "two trillion, six hundred twenty-eight billion, six hundred twenty-nine million, one hundred ninety-two thousand, two hundred sixty-one".