2102766808464 has 405 divisors, whose sum is σ = 6984356876289. Its totient is φ = 588853359360.

The previous prime is 2102766808459. The next prime is 2102766808469. The reversal of 2102766808464 is 4648086672012.

It is a happy number.

The square root of 2102766808464 is 1450092.

It is a perfect power (a square), and thus also a powerful number.

2102766808464 is a `hidden beast` number, since 2 + 102 + 76 + 6 + 8 + 0 + 8 + 464 = 666.

It is an interprime number because it is at equal distance from previous prime (2102766808459) and next prime (2102766808469).

It can be written as a sum of positive squares in only one way, i.e., 68378066064 + 2034388742400 = 261492^2 + 1426320^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2102766808464.

It is not an unprimeable number, because it can be changed into a prime (2102766808469) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7430271267 + ... + 7430271549.

Almost surely, 2^{2102766808464} is an apocalyptic number.

2102766808464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2102766808464 is the 1450092-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2102766808464

2102766808464 is an abundant number, since it is smaller than the sum of its proper divisors (4881590067825).

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

2102766808464 is an equidigital number, since it uses as much as digits as its factorization.

2102766808464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2102766808464 in words is "two trillion, one hundred two billion, seven hundred sixty-six million, eight hundred eight thousand, four hundred sixty-four".