2261376386751 has 32 divisors (see below), whose sum is σ = 3260335187200. Its totient is φ = 1389341030400.

The previous prime is 2261376386743. The next prime is 2261376386761. The reversal of 2261376386751 is 1576836731622.

It is not a de Polignac number, because 2261376386751 - 2³ = 2261376386743 is a prime.

It is a super-2 number, since 2×2261376386751² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a junction number, because it is equal to n+sod(n) for n = 2261376386691 and 2261376386700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261376386761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10013640 + ... + 10236978.

It is an arithmetic number, because the mean of its divisors is an integer number (101885474600).

Almost surely, 2^{2261376386751} is an apocalyptic number.

2261376386751 is a deficient number, since it is larger than the sum of its proper divisors (998958800449).

2261376386751 is a wasteful number, since it uses less digits than its factorization.

2261376386751 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228199.

The product of its digits is 15240960, while the sum is 57.

The spelling of 2261376386751 in words is "two trillion, two hundred sixty-one billion, three hundred seventy-six million, three hundred eighty-six thousand, seven hundred fifty-one".