2864600022240 has 384 divisors, whose sum is σ = 11069356838400. Its totient is φ = 686080696320.

The previous prime is 2864600022227. The next prime is 2864600022257. The reversal of 2864600022240 is 422200064682.

2864600022240 is a `hidden beast` number, since 2 + 8 + 6 + 4 + 600 + 0 + 2 + 2 + 2 + 40 = 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 = 2864600022195 and 2864600022204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3581016 + ... + 4307304.

It is an arithmetic number, because the mean of its divisors is an integer number (28826450100).

Almost surely, 2^{2864600022240} is an apocalyptic number.

2864600022240 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 2864600022240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534678419200).

2864600022240 is an abundant number, since it is smaller than the sum of its proper divisors (8204756816160).

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

2864600022240 is a wasteful number, since it uses less digits than its factorization.

2864600022240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726407 (or 726393 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The spelling of 2864600022240 in words is "two trillion, eight hundred sixty-four billion, six hundred million, twenty-two thousand, two hundred forty".