2380019040 has 864 divisors, whose sum is σ = 10620529920. Its totient is φ = 473776128.

The previous prime is 2380019039. The next prime is 2380019053. The reversal of 2380019040 is 409100832.

It is a super-3 number, since 3×2380019040³ (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2380018995 and 2380019013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 55349259 + ... + 55349301.

It is an arithmetic number, because the mean of its divisors is an integer number (12292280).

Almost surely, 2^2380019040 is an apocalyptic number.

2380019040 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 2380019040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5310264960).

2380019040 is an abundant number, since it is smaller than the sum of its proper divisors (8240510880).

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

2380019040 is a wasteful number, since it uses less digits than its factorization.

2380019040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 96 counting only the distinct ones).

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

The square root of 2380019040 is about 48785.4388111863. The cubic root of 2380019040 is about 1335.1400097235.

Adding to 2380019040 its reverse (409100832), we get a palindrome (2789119872).

The spelling of 2380019040 in words is "two billion, three hundred eighty million, nineteen thousand, forty".