2381874336 has 288 divisors, whose sum is σ = 7458587136. Its totient is φ = 746496000.

The previous prime is 2381874329. The next prime is 2381874347. The reversal of 2381874336 is 6334781832.

2381874336 is a `hidden beast` number, since 2 + 38 + 187 + 433 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2381874291 and 2381874300.

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 47 ways as a sum of consecutive naturals, for example, 9883176 + ... + 9883416.

It is an arithmetic number, because the mean of its divisors is an integer number (25897872).

Almost surely, 2^2381874336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2381874336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3729293568).

2381874336 is an abundant number, since it is smaller than the sum of its proper divisors (5076712800).

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

2381874336 is a wasteful number, since it uses less digits than its factorization.

2381874336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 318 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2381874336 is about 48804.4499610435. The cubic root of 2381874336 is about 1335.4868468011.

The spelling of 2381874336 in words is "two billion, three hundred eighty-one million, eight hundred seventy-four thousand, three hundred thirty-six".