2761441672 has 32 divisors (see below), whose sum is σ = 5695106400. Its totient is φ = 1255195920.

The previous prime is 2761441667. The next prime is 2761441679.

2761441672 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2761441679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 119022 + ... + 140317.

It is an arithmetic number, because the mean of its divisors is an integer number (177972075).

Almost surely, 2^2761441672 is an apocalyptic number.

2761441672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2761441672 is an abundant number, since it is smaller than the sum of its proper divisors (2933664728).

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

2761441672 is a wasteful number, since it uses less digits than its factorization.

2761441672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259378 (or 259352 counting only the distinct ones).

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

The square root of 2761441672 is about 52549.4212337301. The cubic root of 2761441672 is about 1402.9600080180.

The spelling of 2761441672 in words is "two billion, seven hundred sixty-one million, four hundred forty-one thousand, six hundred seventy-two".