2782697732164 has 243 divisors, whose sum is σ = 6198827963517. Its totient is φ = 1089603664128.

The previous prime is 2782697732161. The next prime is 2782697732167. The reversal of 2782697732164 is 4612377962872.

The square root of 2782697732164 is 1668142.

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

2782697732164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2782697732161) and next prime (2782697732167).

It can be written as a sum of positive squares in only one way, i.e., 2166460172100 + 616237560064 = 1471890^2 + 785008^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2782697732096 and 2782697732105.

It is not an unprimeable number, because it can be changed into a prime (2782697732161) 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, 17071765147 + ... + 17071765309.

Almost surely, 2^{2782697732164} is an apocalyptic number.

2782697732164 is the 1668142-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2782697732164

2782697732164 is an abundant number, since it is smaller than the sum of its proper divisors (3416130231353).

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

2782697732164 is a wasteful number, since it uses less digits than its factorization.

2782697732164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 464 (or 232 counting only the distinct ones).

The product of its digits is 85349376, while the sum is 64.

Multiplying 2782697732164 by its sum of digits (64), we get a square (178092654858496 = 13345136²).

The spelling of 2782697732164 in words is "two trillion, seven hundred eighty-two billion, six hundred ninety-seven million, seven hundred thirty-two thousand, one hundred sixty-four".