2386151040 has 384 divisors, whose sum is σ = 9533099520. Its totient is φ = 503193600.

The previous prime is 2386151029. The next prime is 2386151063. The reversal of 2386151040 is 401516832.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2386150989 and 2386151007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1222065 + ... + 1224015.

It is an arithmetic number, because the mean of its divisors is an integer number (24825780).

Almost surely, 2^2386151040 is an apocalyptic number.

2386151040 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 2386151040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4766549760).

2386151040 is an abundant number, since it is smaller than the sum of its proper divisors (7146948480).

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

2386151040 is a wasteful number, since it uses less digits than its factorization.

2386151040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1981 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 2386151040 is about 48848.2450042988. The cubic root of 2386151040 is about 1336.2856668590.

Adding to 2386151040 its reverse (401516832), we get a palindrome (2787667872).

It can be divided in two parts, 238 and 6151040, that added together give a triangular number (6151278 = T₃₅₀₇).

The spelling of 2386151040 in words is "two billion, three hundred eighty-six million, one hundred fifty-one thousand, forty".