2738164467600 has 675 divisors, whose sum is σ = 10209808666057. Its totient is φ = 702774696960.

The previous prime is 2738164467559. The next prime is 2738164467601. The reversal of 2738164467600 is 67644618372.

The square root of 2738164467600 is 1654740.

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

2738164467600 is a `hidden beast` number, since 27 + 3 + 8 + 1 + 6 + 4 + 4 + 6 + 7 + 600 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 2698042775184 + 40121692416 = 1642572^2 + 200304^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2738164467601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 8637742642 + ... + 8637742958.

Almost surely, 2^{2738164467600} is an apocalyptic number.

2738164467600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2738164467600 is the 1654740-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2738164467600

2738164467600 is an abundant number, since it is smaller than the sum of its proper divisors (7471644198457).

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

2738164467600 is an equidigital number, since it uses as much as digits as its factorization.

2738164467600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 356 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 2738164467600 in words is "two trillion, seven hundred thirty-eight billion, one hundred sixty-four million, four hundred sixty-seven thousand, six hundred".