2380914000 has 560 divisors, whose sum is σ = 9133772544. Its totient is φ = 598752000.

The previous prime is 2380913917. The next prime is 2380914017. The reversal of 2380914000 is 4190832.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 33533965 + ... + 33534035.

Almost surely, 2^2380914000 is an apocalyptic number.

2380914000 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 2380914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4566886272).

2380914000 is an abundant number, since it is smaller than the sum of its proper divisors (6752858544).

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

2380914000 is an equidigital number, since it uses as much as digits as its factorization.

2380914000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2380914000 is about 48794.6103581123. The cubic root of 2380914000 is about 1335.3073399201.

The spelling of 2380914000 in words is "two billion, three hundred eighty million, nine hundred fourteen thousand".