2958984 has 128 divisors (see below), whose sum is σ = 9984000. Its totient is φ = 793152.

The previous prime is 2958971. The next prime is 2959031. The reversal of 2958984 is 4898592.

Its product of digits (207360) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28677 + ... + 28779.

It is an arithmetic number, because the mean of its divisors is an integer number (78000).

2^2958984 is an apocalyptic number.

2958984 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 2958984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4992000).

2958984 is an abundant number, since it is smaller than the sum of its proper divisors (7025016).

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

2958984 is a wasteful number, since it uses less digits than its factorization.

2958984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 134 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The square root of 2958984 is about 1720.1697590645. The cubic root of 2958984 is about 143.5646574154.

The spelling of 2958984 in words is "two million, nine hundred fifty-eight thousand, nine hundred eighty-four".