2074843361664 has 512 divisors, whose sum is σ = 6465305088000. Its totient is φ = 662328576000.

The previous prime is 2074843361611. The next prime is 2074843361699. The reversal of 2074843361664 is 4661633484702.

2074843361664 is a `hidden beast` number, since 2 + 0 + 7 + 48 + 433 + 6 + 166 + 4 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2074843361664.

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 1063475889 + ... + 1063477839.

It is an arithmetic number, because the mean of its divisors is an integer number (12627549000).

Almost surely, 2^{2074843361664} is an apocalyptic number.

2074843361664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074843361664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3232652544000).

2074843361664 is an abundant number, since it is smaller than the sum of its proper divisors (4390461726336).

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

2074843361664 is an equidigital number, since it uses as much as digits as its factorization.

2074843361664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2146 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 2074843361664 in words is "two trillion, seventy-four billion, eight hundred forty-three million, three hundred sixty-one thousand, six hundred sixty-four".