2180808978816 has 256 divisors, whose sum is σ = 6498738892800. Its totient is φ = 643409879040.

The previous prime is 2180808978811. The next prime is 2180808978827. The reversal of 2180808978816 is 6188798080812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2180808978811) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16803325 + ... + 16932611.

It is an arithmetic number, because the mean of its divisors is an integer number (25385698800).

Almost surely, 2^{2180808978816} is an apocalyptic number.

2180808978816 is a gapful number since it is divisible by the number (26) 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 2180808978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3249369446400).

2180808978816 is an abundant number, since it is smaller than the sum of its proper divisors (4317929913984).

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

2180808978816 is a wasteful number, since it uses less digits than its factorization.

2180808978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129457 (or 129445 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 66.

The spelling of 2180808978816 in words is "two trillion, one hundred eighty billion, eight hundred eight million, nine hundred seventy-eight thousand, eight hundred sixteen".