2865320640 has 756 divisors, whose sum is σ = 12631576464. Its totient is φ = 583704576.

The previous prime is 2865320597. The next prime is 2865320651. The reversal of 2865320640 is 460235682.

2865320640 is a `hidden beast` number, since 2 + 8 + 6 + 5 + 3 + 2 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2865320595 and 2865320604.

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 107 ways as a sum of consecutive naturals, for example, 98804146 + ... + 98804174.

Almost surely, 2^2865320640 is an apocalyptic number.

2865320640 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 2865320640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6315788232).

2865320640 is an abundant number, since it is smaller than the sum of its proper divisors (9766255824).

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

2865320640 is a wasteful number, since it uses less digits than its factorization.

2865320640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2865320640 is about 53528.6898774853. The cubic root of 2865320640 is about 1420.3359385045.

The spelling of 2865320640 in words is "two billion, eight hundred sixty-five million, three hundred twenty thousand, six hundred forty".