2764994672 has 40 divisors (see below), whose sum is σ = 5886289920. Its totient is φ = 1247762880.

The previous prime is 2764994671. The next prime is 2764994681.

2764994672 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2764994671) 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, 32048 + ... + 80975.

It is an arithmetic number, because the mean of its divisors is an integer number (147157248).

Almost surely, 2^2764994672 is an apocalyptic number.

2764994672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2764994672 is an abundant number, since it is smaller than the sum of its proper divisors (3121295248).

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

2764994672 is a wasteful number, since it uses less digits than its factorization.

2764994672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113181 (or 113175 counting only the distinct ones).

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

The square root of 2764994672 is about 52583.2166380110. The cubic root of 2764994672 is about 1403.5614547948.

The spelling of 2764994672 in words is "two billion, seven hundred sixty-four million, nine hundred ninety-four thousand, six hundred seventy-two".