2763113672 has 32 divisors (see below), whose sum is σ = 5664492000. Its totient is φ = 1253145600.

The previous prime is 2763113657. The next prime is 2763113677.

2763113672 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2763113677) 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 7 ways as a sum of consecutive naturals, for example, 4547 + ... + 74477.

It is an arithmetic number, because the mean of its divisors is an integer number (177015375).

Almost surely, 2^2763113672 is an apocalyptic number.

2763113672 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2763113672 is an abundant number, since it is smaller than the sum of its proper divisors (2901378328).

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

2763113672 is a wasteful number, since it uses less digits than its factorization.

2763113672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70397 (or 70393 counting only the distinct ones).

The product of its digits is 63504, while the sum is 38.

The square root of 2763113672 is about 52565.3276599699. The cubic root of 2763113672 is about 1403.2431060197.

The spelling of 2763113672 in words is "two billion, seven hundred sixty-three million, one hundred thirteen thousand, six hundred seventy-two".