2765555672 has 96 divisors (see below), whose sum is σ = 5824027440. Its totient is φ = 1230028800.

The previous prime is 2765555641. The next prime is 2765555701.

2765555672 is nontrivially palindromic in base 10.

2765555672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (4410000) is a multiple of the sum of its prime divisors (450).

It is a self number, because there is not a number n which added to its sum of digits gives 2765555672.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14329208 + ... + 14329400.

Almost surely, 2^2765555672 is an apocalyptic number.

2765555672 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 2765555672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2912013720).

2765555672 is an abundant number, since it is smaller than the sum of its proper divisors (3058471768).

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

2765555672 is a wasteful number, since it uses less digits than its factorization.

2765555672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 465 (or 450 counting only the distinct ones).

The product of its digits is 4410000, while the sum is 50.

The square root of 2765555672 is about 52588.5507691551. The cubic root of 2765555672 is about 1403.6563729680.

The spelling of 2765555672 in words is "two billion, seven hundred sixty-five million, five hundred fifty-five thousand, six hundred seventy-two".