2901984 has 96 divisors (see below), whose sum is σ = 8426880. Its totient is φ = 870912.

The previous prime is 2901931. The next prime is 2901989. The reversal of 2901984 is 4891092.

2901984 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×2901984² = 16843022272512, which contains 22 as substring.

It is a zygodrome in base 7.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2901989) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67467 + ... + 67509.

It is an arithmetic number, because the mean of its divisors is an integer number (87780).

2^2901984 is an apocalyptic number.

2901984 is a gapful number since it is divisible by the number (24) 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 2901984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4213440).

2901984 is an abundant number, since it is smaller than the sum of its proper divisors (5524896).

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

2901984 is a wasteful number, since it uses less digits than its factorization.

2901984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 2901984 is about 1703.5210594530. The cubic root of 2901984 is about 142.6368276412.

The spelling of 2901984 in words is "two million, nine hundred one thousand, nine hundred eighty-four".