2884369704960 has 768 divisors, whose sum is σ = 9890773401600. Its totient is φ = 715532009472.

The previous prime is 2884369704919. The next prime is 2884369704967. The reversal of 2884369704960 is 694079634882.

It is a tau number, because it is divible by the number of its divisors (768).

It is a junction number, because it is equal to n+sod(n) for n = 2884369704891 and 2884369704900.

It is not an unprimeable number, because it can be changed into a prime (2884369704967) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12379269004 + ... + 12379269236.

It is an arithmetic number, because the mean of its divisors is an integer number (12878611200).

Almost surely, 2^{2884369704960} is an apocalyptic number.

2884369704960 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 2884369704960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945386700800).

2884369704960 is an abundant number, since it is smaller than the sum of its proper divisors (7006403696640).

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

2884369704960 is a wasteful number, since it uses less digits than its factorization.

2884369704960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 125411328, while the sum is 66.

The spelling of 2884369704960 in words is "two trillion, eight hundred eighty-four billion, three hundred sixty-nine million, seven hundred four thousand, nine hundred sixty".