2387947968 has 504 divisors, whose sum is σ = 8635258320. Its totient is φ = 627056640.

The previous prime is 2387947943. The next prime is 2387947973. The reversal of 2387947968 is 8697497832.

2387947968 is a `hidden beast` number, since 2 + 38 + 79 + 479 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 32711580 + ... + 32711652.

Almost surely, 2^2387947968 is an apocalyptic number.

2387947968 is a gapful number since it is divisible by the number (28) 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 2387947968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317629160).

2387947968 is an abundant number, since it is smaller than the sum of its proper divisors (6247310352).

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

2387947968 is a wasteful number, since it uses less digits than its factorization.

2387947968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 165 counting only the distinct ones).

The product of its digits is 36578304, while the sum is 63.

The square root of 2387947968 is about 48866.6345065833. The cubic root of 2387947968 is about 1336.6210195653.

The spelling of 2387947968 in words is "two billion, three hundred eighty-seven million, nine hundred forty-seven thousand, nine hundred sixty-eight".