2864406806880 has 96 divisors (see below), whose sum is σ = 9032595314400. Its totient is φ = 763019476992.

The previous prime is 2864406806861. The next prime is 2864406806881. The reversal of 2864406806880 is 886086044682.

2864406806880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2864406806881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2765875 + ... + 3657714.

It is an arithmetic number, because the mean of its divisors is an integer number (94089534525).

Almost surely, 2^{2864406806880} is an apocalyptic number.

2864406806880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2864406806880 is an abundant number, since it is smaller than the sum of its proper divisors (6168188507520).

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

2864406806880 is a wasteful number, since it uses less digits than its factorization.

2864406806880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6424536 (or 6424528 counting only the distinct ones).

The product of its (nonzero) digits is 28311552, while the sum is 60.

The spelling of 2864406806880 in words is "two trillion, eight hundred sixty-four billion, four hundred six million, eight hundred six thousand, eight hundred eighty".