2368134720 has 504 divisors, whose sum is σ = 9628275384. Its totient is φ = 532611072.

The previous prime is 2368134719. The next prime is 2368134767. The reversal of 2368134720 is 274318632.

It is a happy number.

2368134720 is a `hidden beast` number, since 236 + 81 + 347 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 618218496 + 1749916224 = 24864^2 + 41832^2 .

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 (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13688554 + ... + 13688726.

It is an arithmetic number, because the mean of its divisors is an integer number (19103721).

Almost surely, 2^2368134720 is an apocalyptic number.

2368134720 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 2368134720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814137692).

2368134720 is an abundant number, since it is smaller than the sum of its proper divisors (7260140664).

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

2368134720 is a wasteful number, since it uses less digits than its factorization.

2368134720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2368134720 is about 48663.4844621714. The cubic root of 2368134720 is about 1332.9140170331.

The spelling of 2368134720 in words is "two billion, three hundred sixty-eight million, one hundred thirty-four thousand, seven hundred twenty".