2381760000 has 300 divisors, whose sum is σ = 8600037732. Its totient is φ = 634368000.

The previous prime is 2381759999. The next prime is 2381760001. The reversal of 2381760000 is 671832.

It is an interprime number because it is at equal distance from previous prime (2381759999) and next prime (2381760001).

It is a tau number, because it is divible by the number of its divisors (300).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2381760001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 2879587 + ... + 2880413.

Almost surely, 2^2381760000 is an apocalyptic number.

2381760000 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 2381760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4300018866).

2381760000 is an abundant number, since it is smaller than the sum of its proper divisors (6218277732).

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

2381760000 is an frugal number, since it uses more digits than its factorization.

2381760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 871 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2381760000 is about 48803.2785783906. The cubic root of 2381760000 is about 1335.4654775423.

The spelling of 2381760000 in words is "two billion, three hundred eighty-one million, seven hundred sixty thousand".