2386141000 has 64 divisors (see below), whose sum is σ = 5607304560. Its totient is φ = 950400000.

The previous prime is 2386140983. The next prime is 2386141007. The reversal of 2386141000 is 1416832.

2386141000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 769618564 + 1616522436 = 27742^2 + 40206^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (2386141007) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236050 + ... + 245950.

Almost surely, 2^2386141000 is an apocalyptic number.

2386141000 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 2386141000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803652280).

2386141000 is an abundant number, since it is smaller than the sum of its proper divisors (3221163560).

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

2386141000 is a wasteful number, since it uses less digits than its factorization.

2386141000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10163 (or 10149 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 2386141000 is about 48848.1422369367. The cubic root of 2386141000 is about 1336.2837926654.

Adding to 2386141000 its reverse (1416832), we get a palindrome (2387557832).

The spelling of 2386141000 in words is "two billion, three hundred eighty-six million, one hundred forty-one thousand".