2765775672 has 128 divisors (see below), whose sum is σ = 8410176000. Its totient is φ = 835211520.

The previous prime is 2765775643. The next prime is 2765775707.

It is a happy number.

2765775672 is a `hidden beast` number, since 2 + 7 + 6 + 5 + 77 + 567 + 2 = 666.

2765775672 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 741829 + ... + 745547.

It is an arithmetic number, because the mean of its divisors is an integer number (65704500).

Almost surely, 2^2765775672 is an apocalyptic number.

2765775672 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 2765775672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4205088000).

2765775672 is an abundant number, since it is smaller than the sum of its proper divisors (5644400328).

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

2765775672 is a wasteful number, since it uses less digits than its factorization.

2765775672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4058 (or 4048 counting only the distinct ones).

The product of its digits is 8643600, while the sum is 54.

The square root of 2765775672 is about 52590.6424376048. The cubic root of 2765775672 is about 1403.6935922771.

The spelling of 2765775672 in words is "two billion, seven hundred sixty-five million, seven hundred seventy-five thousand, six hundred seventy-two".