2764334672 has 80 divisors (see below), whose sum is σ = 6116179968. Its totient is φ = 1198074240.

The previous prime is 2764334669. The next prime is 2764334701.

2764334672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1549493 + ... + 1551275.

Almost surely, 2^2764334672 is an apocalyptic number.

2764334672 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 2764334672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3058089984).

2764334672 is an abundant number, since it is smaller than the sum of its proper divisors (3351845296).

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

2764334672 is a wasteful number, since it uses less digits than its factorization.

2764334672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2208 (or 2202 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 44.

The square root of 2764334672 is about 52576.9404967615. The cubic root of 2764334672 is about 1403.4497699170.

The spelling of 2764334672 in words is "two billion, seven hundred sixty-four million, three hundred thirty-four thousand, six hundred seventy-two".