2769449672 has 32 divisors (see below), whose sum is σ = 5670997920. Its totient is φ = 1257459840.

The previous prime is 2769449659. The next prime is 2769449689.

2769449672 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×2769449672³ (a number of 29 digits) contains 333 as substring.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 65663 + ... + 99249.

It is an arithmetic number, because the mean of its divisors is an integer number (177218685).

Almost surely, 2^2769449672 is an apocalyptic number.

2769449672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2769449672 is an abundant number, since it is smaller than the sum of its proper divisors (2901548248).

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

2769449672 is a wasteful number, since it uses less digits than its factorization.

2769449672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34541 (or 34537 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 56.

The square root of 2769449672 is about 52625.5610136367. The cubic root of 2769449672 is about 1404.3148632445.

The spelling of 2769449672 in words is "two billion, seven hundred sixty-nine million, four hundred forty-nine thousand, six hundred seventy-two".