2981880 has 128 divisors (see below), whose sum is σ = 10886400. Its totient is φ = 720000.

The previous prime is 2981873. The next prime is 2981887. The reversal of 2981880 is 881892.

It is an interprime number because it is at equal distance from previous prime (2981873) and next prime (2981887).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 9 and base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981887) 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, 11755 + ... + 12005.

It is an arithmetic number, because the mean of its divisors is an integer number (85050).

2^2981880 is an apocalyptic number.

2981880 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 2981880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5443200).

2981880 is an abundant number, since it is smaller than the sum of its proper divisors (7904520).

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

2981880 is a wasteful number, since it uses less digits than its factorization.

2981880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 2981880 is about 1726.8120916880. The cubic root of 2981880 is about 143.9339975301.

The spelling of 2981880 in words is "two million, nine hundred eighty-one thousand, eight hundred eighty".