2765423808 has 336 divisors, whose sum is σ = 9606320640. Its totient is φ = 764163072.

The previous prime is 2765423803. The next prime is 2765423809. The reversal of 2765423808 is 8083245672.

2765423808 is a `hidden beast` number, since 2 + 76 + 542 + 38 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is not an unprimeable number, because it can be changed into a prime (2765423803) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16559341 + ... + 16559507.

It is an arithmetic number, because the mean of its divisors is an integer number (28590240).

Almost surely, 2^2765423808 is an apocalyptic number.

2765423808 is a gapful number since it is divisible by the number (28) 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 2765423808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4803160320).

2765423808 is an abundant number, since it is smaller than the sum of its proper divisors (6840896832).

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

2765423808 is a wasteful number, since it uses less digits than its factorization.

2765423808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 216 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The square root of 2765423808 is about 52587.2970212389. The cubic root of 2765423808 is about 1403.6340634448.

The spelling of 2765423808 in words is "two billion, seven hundred sixty-five million, four hundred twenty-three thousand, eight hundred eight".