2868562045440 has 3360 divisors, whose sum is σ = 13705342801920. Its totient is φ = 568865783808.

The previous prime is 2868562045387. The next prime is 2868562045441. The reversal of 2868562045440 is 445402658682.

2868562045440 is a `hidden beast` number, since 2 + 8 + 6 + 8 + 5 + 620 + 4 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2868562045441) by changing a digit.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 22587102657 + ... + 22587102783.

It is an arithmetic number, because the mean of its divisors is an integer number (4078971072).

Almost surely, 2^{2868562045440} is an apocalyptic number.

2868562045440 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 2868562045440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6852671400960).

2868562045440 is an abundant number, since it is smaller than the sum of its proper divisors (10836780756480).

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

2868562045440 is a wasteful number, since it uses less digits than its factorization.

2868562045440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 2868562045440 in words is "two trillion, eight hundred sixty-eight billion, five hundred sixty-two million, forty-five thousand, four hundred forty".