2864839060440 has 576 divisors, whose sum is σ = 11097051451200. Its totient is φ = 627825530880.

The previous prime is 2864839060429. The next prime is 2864839060469. The reversal of 2864839060440 is 440609384682.

2864839060440 is a `hidden beast` number, since 2 + 8 + 64 + 83 + 9 + 0 + 60 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 263962054 + ... + 263972906.

It is an arithmetic number, because the mean of its divisors is an integer number (19265714325).

Almost surely, 2^{2864839060440} is an apocalyptic number.

2864839060440 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 2864839060440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5548525725600).

2864839060440 is an abundant number, since it is smaller than the sum of its proper divisors (8232212390760).

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

2864839060440 is a wasteful number, since it uses less digits than its factorization.

2864839060440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11048 (or 11010 counting only the distinct ones).

The product of its (nonzero) digits is 7962624, while the sum is 54.

The spelling of 2864839060440 in words is "two trillion, eight hundred sixty-four billion, eight hundred thirty-nine million, sixty thousand, four hundred forty".