2381952144 has 320 divisors, whose sum is σ = 7762003200. Its totient is φ = 618332160.

The previous prime is 2381952121. The next prime is 2381952169. The reversal of 2381952144 is 4412591832.

2381952144 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15986182 + ... + 15986330.

It is an arithmetic number, because the mean of its divisors is an integer number (24256260).

Almost surely, 2^2381952144 is an apocalyptic number.

2381952144 is a gapful number since it is divisible by the number (24) 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 2381952144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881001600).

2381952144 is an abundant number, since it is smaller than the sum of its proper divisors (5380051056).

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

2381952144 is a wasteful number, since it uses less digits than its factorization.

2381952144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 332 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 2381952144 is about 48805.2470949590. The cubic root of 2381952144 is about 1335.5013886303.

The spelling of 2381952144 in words is "two billion, three hundred eighty-one million, nine hundred fifty-two thousand, one hundred forty-four".