2801678684160 has 416 divisors, whose sum is σ = 9566777659392. Its totient is φ = 697596641280.

The previous prime is 2801678684137. The next prime is 2801678684183. The reversal of 2801678684160 is 614868761082.

It is an interprime number because it is at equal distance from previous prime (2801678684137) and next prime (2801678684183).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2801678684160.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 132638400 + ... + 132659520.

Almost surely, 2^{2801678684160} is an apocalyptic number.

2801678684160 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 2801678684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4783388829696).

2801678684160 is an abundant number, since it is smaller than the sum of its proper divisors (6765098975232).

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

2801678684160 is a wasteful number, since it uses less digits than its factorization.

2801678684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21297 (or 21275 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 57.

The spelling of 2801678684160 in words is "two trillion, eight hundred one billion, six hundred seventy-eight million, six hundred eighty-four thousand, one hundred sixty".