2764114672 has 80 divisors (see below), whose sum is σ = 5950226304. Its totient is φ = 1233440000.

The previous prime is 2764114657. The next prime is 2764114673.

2764114672 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 (2764114673) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2328063 + ... + 2329249.

Almost surely, 2^2764114672 is an apocalyptic number.

2764114672 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 2764114672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975113152).

2764114672 is an abundant number, since it is smaller than the sum of its proper divisors (3186111632).

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

2764114672 is a wasteful number, since it uses less digits than its factorization.

2764114672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1438 (or 1432 counting only the distinct ones).

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

The square root of 2764114672 is about 52574.8482831858. The cubic root of 2764114672 is about 1403.4125376740.

The spelling of 2764114672 in words is "two billion, seven hundred sixty-four million, one hundred fourteen thousand, six hundred seventy-two".