2741661472 has 96 divisors (see below), whose sum is σ = 6062853888. Its totient is φ = 1209600000.

The previous prime is 2741661469. The next prime is 2741661523.

2741661472 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3910722 + ... + 3911422.

It is an arithmetic number, because the mean of its divisors is an integer number (63154728).

Almost surely, 2^2741661472 is an apocalyptic number.

2741661472 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2741661472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3031426944).

2741661472 is an abundant number, since it is smaller than the sum of its proper divisors (3321192416).

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

2741661472 is a wasteful number, since it uses less digits than its factorization.

2741661472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1026 counting only the distinct ones).

The product of its digits is 112896, while the sum is 40.

The square root of 2741661472 is about 52360.8773035747. The cubic root of 2741661472 is about 1399.6021781227.

It can be divided in two parts, 27416 and 61472, that added together give a palindrome (88888).

The spelling of 2741661472 in words is "two billion, seven hundred forty-one million, six hundred sixty-one thousand, four hundred seventy-two".