2074176040000 has 315 divisors, whose sum is σ = 5442589163187. Its totient is φ = 783929664000.

The previous prime is 2074176039937. The next prime is 2074176040007. The reversal of 2074176040000 is 406714702.

The square root of 2074176040000 is 1440200.

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

It can be written as a sum of positive squares in 2 ways, for example, as 162615401536 + 1911560638464 = 403256^2 + 1382592^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2074176040007) 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 44 ways as a sum of consecutive naturals, for example, 5472759811 + ... + 5472760189.

Almost surely, 2^{2074176040000} is an apocalyptic number.

2074176040000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2074176040000 is the 1440200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2074176040000

2074176040000 is an abundant number, since it is smaller than the sum of its proper divisors (3368413123187).

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

2074176040000 is an frugal number, since it uses more digits than its factorization.

2074176040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 31.

The spelling of 2074176040000 in words is "two trillion, seventy-four billion, one hundred seventy-six million, forty thousand".