2761221672 has 48 divisors (see below), whose sum is σ = 8158157280. Its totient is φ = 836733600.

The previous prime is 2761221641. The next prime is 2761221679.

It is a happy number.

2761221672 is a `hidden beast` number, since 27 + 612 + 2 + 16 + 7 + 2 = 666.

2761221672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2761221679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1742404 + ... + 1743987.

It is an arithmetic number, because the mean of its divisors is an integer number (169961610).

Almost surely, 2^2761221672 is an apocalyptic number.

2761221672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2761221672 is an abundant number, since it is smaller than the sum of its proper divisors (5396935608).

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

2761221672 is a wasteful number, since it uses less digits than its factorization.

2761221672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3486414 (or 3486407 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 2761221672 is about 52547.3279244530. The cubic root of 2761221672 is about 1402.9227497745.

It can be divided in two parts, 27612 and 21672, that added together give a square (49284 = 222²).

The spelling of 2761221672 in words is "two billion, seven hundred sixty-one million, two hundred twenty-one thousand, six hundred seventy-two".