2385513984 has 320 divisors, whose sum is σ = 7957204992. Its totient is φ = 619315200.

The previous prime is 2385513971. The next prime is 2385514009. The reversal of 2385513984 is 4893155832.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5666094 + ... + 5666514.

Almost surely, 2^2385513984 is an apocalyptic number.

2385513984 is a gapful number since it is divisible by the number (24) 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 2385513984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3978602496).

2385513984 is an abundant number, since it is smaller than the sum of its proper divisors (5571691008).

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

2385513984 is a wasteful number, since it uses less digits than its factorization.

2385513984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 481 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 48.

The square root of 2385513984 is about 48841.7238025031. The cubic root of 2385513984 is about 1336.1667354980.

The spelling of 2385513984 in words is "two billion, three hundred eighty-five million, five hundred thirteen thousand, nine hundred eighty-four".