2261757468672 has 840 divisors, whose sum is σ = 7435308689424. Its totient is φ = 687540731904.

The previous prime is 2261757468667. The next prime is 2261757468673. The reversal of 2261757468672 is 2768647571622.

2261757468672 is a `hidden beast` number, since 2 + 2 + 61 + 7 + 57 + 468 + 67 + 2 = 666.

It is a super-2 number, since 2×2261757468672² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2261757468673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 27250089943 + ... + 27250090025.

Almost surely, 2^{2261757468672} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2261757468672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3717654344712).

2261757468672 is an abundant number, since it is smaller than the sum of its proper divisors (5173551220752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2261757468672 is an frugal number, since it uses more digits than its factorization.

2261757468672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 101 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 2261757468672 in words is "two trillion, two hundred sixty-one billion, seven hundred fifty-seven million, four hundred sixty-eight thousand, six hundred seventy-two".