2386893960 has 256 divisors, whose sum is σ = 8720179200. Its totient is φ = 575942400.

The previous prime is 2386893893. The next prime is 2386893973. The reversal of 2386893960 is 693986832.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2386893897 and 2386893906.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3931977 + ... + 3932583.

It is an arithmetic number, because the mean of its divisors is an integer number (34063200).

Almost surely, 2^2386893960 is an apocalyptic number.

2386893960 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 2386893960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4360089600).

2386893960 is an abundant number, since it is smaller than the sum of its proper divisors (6333285240).

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

2386893960 is a wasteful number, since it uses less digits than its factorization.

2386893960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The square root of 2386893960 is about 48855.8487798544. The cubic root of 2386893960 is about 1336.4243351325.

The spelling of 2386893960 in words is "two billion, three hundred eighty-six million, eight hundred ninety-three thousand, nine hundred sixty".