2981760 has 64 divisors (see below), whose sum is σ = 9510480. Its totient is φ = 794624.

The previous prime is 2981753. The next prime is 2981761. The reversal of 2981760 is 671892.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2981761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1144 + ... + 2696.

2^2981760 is an apocalyptic number.

2981760 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 2981760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4755240).

2981760 is an abundant number, since it is smaller than the sum of its proper divisors (6528720).

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

2981760 is a wasteful number, since it uses less digits than its factorization.

2981760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1575 (or 1563 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 33.

The square root of 2981760 is about 1726.7773452301. Note that the first 3 decimals coincide. The cubic root of 2981760 is about 143.9320667223.

It can be divided in two parts, 2981 and 760, that added together give a triangular number (3741 = T₈₆).

The spelling of 2981760 in words is "two million, nine hundred eighty-one thousand, seven hundred sixty".