2865986840640 has 1344 divisors, whose sum is σ = 11802083844096. Its totient is φ = 582543360000.

The previous prime is 2865986840627. The next prime is 2865986840641. The reversal of 2865986840640 is 460486895682.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (2865986840641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6649621225 + ... + 6649621655.

It is an arithmetic number, because the mean of its divisors is an integer number (8781312384).

Almost surely, 2^{2865986840640} is an apocalyptic number.

2865986840640 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 2865986840640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5901041922048).

2865986840640 is an abundant number, since it is smaller than the sum of its proper divisors (8936097003456).

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

2865986840640 is a wasteful number, since it uses less digits than its factorization.

2865986840640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 159252480, while the sum is 66.

The spelling of 2865986840640 in words is "two trillion, eight hundred sixty-five billion, nine hundred eighty-six million, eight hundred forty thousand, six hundred forty".