2766004015460 has 72 divisors (see below), whose sum is σ = 6780999436344. Its totient is φ = 944969249280.

The previous prime is 2766004015459. The next prime is 2766004015499. The reversal of 2766004015460 is 645104006672.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 461364260644 + 2304639754816 = 679238^2 + 1518104^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4746779 + ... + 5297538.

It is an arithmetic number, because the mean of its divisors is an integer number (94180547727).

Almost surely, 2^{2766004015460} is an apocalyptic number.

2766004015460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2766004015460 is an abundant number, since it is smaller than the sum of its proper divisors (4014995420884).

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

2766004015460 is a wasteful number, since it uses less digits than its factorization.

2766004015460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044621 (or 10044612 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The spelling of 2766004015460 in words is "two trillion, seven hundred sixty-six billion, four million, fifteen thousand, four hundred sixty".