2983106880 has 504 divisors, whose sum is σ = 11572902432. Its totient is φ = 731068416.

The previous prime is 2983106869. The next prime is 2983106927. The reversal of 2983106880 is 886013892.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 13141327 + ... + 13141553.

It is an arithmetic number, because the mean of its divisors is an integer number (22962108).

Almost surely, 2^2983106880 is an apocalyptic number.

2983106880 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 2983106880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5786451216).

2983106880 is an abundant number, since it is smaller than the sum of its proper divisors (8589795552).

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

2983106880 is a wasteful number, since it uses less digits than its factorization.

2983106880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 2983106880 is about 54617.8256615915. The cubic root of 2983106880 is about 1439.5373513744.

The spelling of 2983106880 in words is "two billion, nine hundred eighty-three million, one hundred six thousand, eight hundred eighty".