2684468876880 has 240 divisors, whose sum is σ = 9698440224384. Its totient is φ = 612457251840.

The previous prime is 2684468876879. The next prime is 2684468876891. The reversal of 2684468876880 is 886788644862.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6151189 + ... + 6573131.

Almost surely, 2^{2684468876880} is an apocalyptic number.

2684468876880 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 2684468876880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849220112192).

2684468876880 is an abundant number, since it is smaller than the sum of its proper divisors (7013971347504).

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

2684468876880 is a wasteful number, since it uses less digits than its factorization.

2684468876880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422514 (or 422501 counting only the distinct ones).

The product of its (nonzero) digits is 1585446912, while the sum is 75.

The spelling of 2684468876880 in words is "two trillion, six hundred eighty-four billion, four hundred sixty-eight million, eight hundred seventy-six thousand, eight hundred eighty".