2740210108164 has 81 divisors (see below), whose sum is σ = 7358512797727. Its totient is φ = 859620787968.

The previous prime is 2740210108133. The next prime is 2740210108187. The reversal of 2740210108164 is 4618010120472.

It is a happy number.

The square root of 2740210108164 is 1655358.

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

2740210108164 is a `hidden beast` number, since 274 + 0 + 210 + 10 + 8 + 164 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1744222076100 + 995988032064 = 1320690^2 + 997992^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 168838402 + ... + 168854630.

Almost surely, 2^{2740210108164} is an apocalyptic number.

2740210108164 is the 1655358-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2740210108164

2740210108164 is an abundant number, since it is smaller than the sum of its proper divisors (4618302689563).

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

2740210108164 is an equidigital number, since it uses as much as digits as its factorization.

2740210108164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32502 (or 16251 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 2740210108164 by its sum of digits (36), we get a square (98647563893904 = 9932148²).

2740210108164 divided by its sum of digits (36) gives a square (76116947449 = 275893²).

The spelling of 2740210108164 in words is "two trillion, seven hundred forty billion, two hundred ten million, one hundred eight thousand, one hundred sixty-four".