2980880892 has 192 divisors, whose sum is σ = 9093772800. Its totient is φ = 834624000.

The previous prime is 2980880887. The next prime is 2980880893.

2980880892 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2980880893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 923842 + ... + 927062.

It is an arithmetic number, because the mean of its divisors is an integer number (47363400).

Almost surely, 2^2980880892 is an apocalyptic number.

2980880892 is a gapful number since it is divisible by the number (22) 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 2980880892, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4546886400).

2980880892 is an abundant number, since it is smaller than the sum of its proper divisors (6112891908).

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

2980880892 is a wasteful number, since it uses less digits than its factorization.

2980880892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3305 (or 3297 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The square root of 2980880892 is about 54597.4440061071. Note that the first 3 decimals coincide. The cubic root of 2980880892 is about 1439.1792023745.

The spelling of 2980880892 in words is "two billion, nine hundred eighty million, eight hundred eighty thousand, eight hundred ninety-two".