2381990400 has 720 divisors, whose sum is σ = 9498677760. Its totient is φ = 567705600.

The previous prime is 2381990389. The next prime is 2381990417. The reversal of 2381990400 is 40991832.

2381990400 is a `hidden beast` number, since 238 + 19 + 9 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 71 ways as a sum of consecutive naturals, for example, 76838385 + ... + 76838415.

It is an arithmetic number, because the mean of its divisors is an integer number (13192608).

Almost surely, 2^2381990400 is an apocalyptic number.

2381990400 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 2381990400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4749338880).

2381990400 is an abundant number, since it is smaller than the sum of its proper divisors (7116687360).

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

2381990400 is a wasteful number, since it uses less digits than its factorization.

2381990400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2381990400 is about 48805.6390184577. The cubic root of 2381990400 is about 1335.5085383216.

The spelling of 2381990400 in words is "two billion, three hundred eighty-one million, nine hundred ninety thousand, four hundred".