2385641000 has 64 divisors (see below), whose sum is σ = 5625322560. Its totient is φ = 946920000.

The previous prime is 2385640981. The next prime is 2385641017. The reversal of 2385641000 is 1465832.

2385641000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121895 + ... + 140105.

It is an arithmetic number, because the mean of its divisors is an integer number (87895665).

Almost surely, 2^2385641000 is an apocalyptic number.

2385641000 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 2385641000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812661280).

2385641000 is an abundant number, since it is smaller than the sum of its proper divisors (3239681560).

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

2385641000 is a wasteful number, since it uses less digits than its factorization.

2385641000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18363 (or 18349 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 29.

The square root of 2385641000 is about 48843.0240669023. The cubic root of 2385641000 is about 1336.1904496805.

The spelling of 2385641000 in words is "two billion, three hundred eighty-five million, six hundred forty-one thousand".