2865752064 has 432 divisors, whose sum is σ = 10195567200. Its totient is φ = 771047424.

The previous prime is 2865752059. The next prime is 2865752069. The reversal of 2865752064 is 4602575682.

2865752064 is a `hidden beast` number, since 2 + 8 + 65 + 7 + 520 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (2865752059) and next prime (2865752069).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2865752069) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17160109 + ... + 17160275.

It is an arithmetic number, because the mean of its divisors is an integer number (23600850).

Almost surely, 2^2865752064 is an apocalyptic number.

2865752064 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 2865752064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5097783600).

2865752064 is an abundant number, since it is smaller than the sum of its proper divisors (7329815136).

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

2865752064 is a wasteful number, since it uses less digits than its factorization.

2865752064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The square root of 2865752064 is about 53532.7195647671. The cubic root of 2865752064 is about 1420.4072203768.

The spelling of 2865752064 in words is "two billion, eight hundred sixty-five million, seven hundred fifty-two thousand, sixty-four".