2981088 has 72 divisors (see below), whose sum is σ = 9257976. Its totient is φ = 902400.

The previous prime is 2981087. The next prime is 2981089. The reversal of 2981088 is 8801892.

It is an interprime number because it is at equal distance from previous prime (2981087) and next prime (2981089).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a nialpdrome in base 12.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2698 + ... + 3638.

It is an arithmetic number, because the mean of its divisors is an integer number (128583).

2^2981088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2981088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4628988).

2981088 is an abundant number, since it is smaller than the sum of its proper divisors (6276888).

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

2981088 is a wasteful number, since it uses less digits than its factorization.

2981088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 957 counting only the distinct ones).

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

The square root of 2981088 is about 1726.5827521437. The cubic root of 2981088 is about 143.9212532413.

It can be divided in two parts, 298108 and 8, that added together give a square (298116 = 546²).

The spelling of 2981088 in words is "two million, nine hundred eighty-one thousand, eighty-eight".