2627738260901 has 16 divisors (see below), whose sum is σ = 2939600978160. Its totient is φ = 2332245242880.

The previous prime is 2627738260883. The next prime is 2627738260919. The reversal of 2627738260901 is 1090628377262.

2627738260901 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 1621030²+1.

It is an interprime number because it is at equal distance from previous prime (2627738260883) and next prime (2627738260919).

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 2627738260900 = 1^2 + 1621030^2 .

It is a cyclic number.

It is not a de Polignac number, because 2627738260901 - 2¹⁴ = 2627738244517 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2627738260951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14369990 + ... + 14551703.

It is an arithmetic number, because the mean of its divisors is an integer number (183725061135).

Almost surely, 2^{2627738260901} is an apocalyptic number.

It is an amenable number.

2627738260901 is a deficient number, since it is larger than the sum of its proper divisors (311862717259).

2627738260901 is a wasteful number, since it uses less digits than its factorization.

2627738260901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28921976.

The product of its (nonzero) digits is 3048192, while the sum is 53.

The spelling of 2627738260901 in words is "two trillion, six hundred twenty-seven billion, seven hundred thirty-eight million, two hundred sixty thousand, nine hundred one".