2104381440 has 468 divisors, whose sum is σ = 8521621524. Its totient is φ = 478937088.

The previous prime is 2104381421. The next prime is 2104381471. The reversal of 2104381440 is 441834012.

2104381440 is a `hidden beast` number, since 210 + 4 + 3 + 8 + 1 + 440 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 585252864 + 1519128576 = 24192^2 + 38976^2 .

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 9031564 + ... + 9031796.

It is an arithmetic number, because the mean of its divisors is an integer number (18208593).

Almost surely, 2^2104381440 is an apocalyptic number.

2104381440 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 2104381440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4260810762).

2104381440 is an abundant number, since it is smaller than the sum of its proper divisors (6417240084).

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

2104381440 is a wasteful number, since it uses less digits than its factorization.

2104381440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2104381440 is about 45873.5374698747. The cubic root of 2104381440 is about 1281.4691464450.

The spelling of 2104381440 in words is "two billion, one hundred four million, three hundred eighty-one thousand, four hundred forty".