2766605440 has 64 divisors (see below), whose sum is σ = 6792728760. Its totient is φ = 1076723712.

The previous prime is 2766605431. The next prime is 2766605461. The reversal of 2766605440 is 445066672.

It can be written as a sum of positive squares in 4 ways, for example, as 2144801344 + 621804096 = 46312^2 + 24936^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 2766605393 and 2766605402.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 34737 + ... + 82096.

Almost surely, 2^2766605440 is an apocalyptic number.

2766605440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2766605440 is an abundant number, since it is smaller than the sum of its proper divisors (4026123320).

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

2766605440 is a wasteful number, since it uses less digits than its factorization.

2766605440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116889 (or 116877 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 40.

The square root of 2766605440 is about 52598.5307779599. The cubic root of 2766605440 is about 1403.8339535721.

The spelling of 2766605440 in words is "two billion, seven hundred sixty-six million, six hundred five thousand, four hundred forty".