2864600640 has 672 divisors, whose sum is σ = 11862474624. Its totient is φ = 650280960.

The previous prime is 2864600639. The next prime is 2864600647. The reversal of 2864600640 is 460064682.

It is a happy number.

2864600640 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 6 + 0 + 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 = 2864600595 and 2864600604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864600647) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14541022 + ... + 14541218.

It is an arithmetic number, because the mean of its divisors is an integer number (17652492).

Almost surely, 2^2864600640 is an apocalyptic number.

2864600640 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 2864600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5931237312).

2864600640 is an abundant number, since it is smaller than the sum of its proper divisors (8997873984).

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

2864600640 is a wasteful number, since it uses less digits than its factorization.

2864600640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 257 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 2864600640 is about 53521.9640895212. The cubic root of 2864600640 is about 1420.2169608317.

The spelling of 2864600640 in words is "two billion, eight hundred sixty-four million, six hundred thousand, six hundred forty".