2009381774400 has 2352 divisors, whose sum is σ = 9959051829888. Its totient is φ = 385191936000.

The previous prime is 2009381774339. The next prime is 2009381774423. The reversal of 2009381774400 is 44771839002.

2009381774400 is a `hidden beast` number, since 2 + 0 + 0 + 9 + 38 + 177 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 335 ways as a sum of consecutive naturals, for example, 1167565540 + ... + 1167567260.

It is an arithmetic number, because the mean of its divisors is an integer number (4234290744).

Almost surely, 2^{2009381774400} is an apocalyptic number.

2009381774400 is a gapful number since it is divisible by the number (20) 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 2009381774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4979525914944).

2009381774400 is an abundant number, since it is smaller than the sum of its proper divisors (7949670055488).

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

2009381774400 is a wasteful number, since it uses less digits than its factorization.

2009381774400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1792 (or 1762 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 2009381774400 in words is "two trillion, nine billion, three hundred eighty-one million, seven hundred seventy-four thousand, four hundred".