2766561408 has 96 divisors (see below), whose sum is σ = 8573504940. Its totient is φ = 851245056.

The previous prime is 2766561403. The next prime is 2766561409. The reversal of 2766561408 is 8041656672.

2766561408 is a `hidden beast` number, since 27 + 6 + 6 + 5 + 614 + 0 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2557122624 + 209438784 = 50568^2 + 14472^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2766561403) 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 11 ways as a sum of consecutive naturals, for example, 77391 + ... + 107342.

Almost surely, 2^2766561408 is an apocalyptic number.

It is an amenable number.

2766561408 is an abundant number, since it is smaller than the sum of its proper divisors (5806943532).

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

2766561408 is a wasteful number, since it uses less digits than its factorization.

2766561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184766 (or 184751 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 2766561408 is about 52598.1122094700. The cubic root of 2766561408 is about 1403.8265059441.

The spelling of 2766561408 in words is "two billion, seven hundred sixty-six million, five hundred sixty-one thousand, four hundred eight".