2365784064 has 272 divisors, whose sum is σ = 8053002240. Its totient is φ = 672399360.

The previous prime is 2365784053. The next prime is 2365784077. The reversal of 2365784064 is 4604875632.

2365784064 is a `hidden beast` number, since 2 + 36 + 578 + 40 + 6 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12386209 + ... + 12386399.

Almost surely, 2^2365784064 is an apocalyptic number.

2365784064 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 2365784064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4026501120).

2365784064 is an abundant number, since it is smaller than the sum of its proper divisors (5687218176).

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

2365784064 is an frugal number, since it uses more digits than its factorization.

2365784064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The square root of 2365784064 is about 48639.3263111240. The cubic root of 2365784064 is about 1332.4728456791.

The spelling of 2365784064 in words is "two billion, three hundred sixty-five million, seven hundred eighty-four thousand, sixty-four".