2985444 has 96 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 773280.

The previous prime is 2985443. The next prime is 2985457. The reversal of 2985444 is 4445892.

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

It is an Ulam number.

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2985399 and 2985408.

It is not an unprimeable number, because it can be changed into a prime (2985443) 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, 8137 + ... + 8495.

It is an arithmetic number, because the mean of its divisors is an integer number (100800).

2^2985444 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 2985444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4838400).

2985444 is an abundant number, since it is smaller than the sum of its proper divisors (6691356).

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

2985444 is a wasteful number, since it uses less digits than its factorization.

2985444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 382 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 2985444 is about 1727.8437429351. The cubic root of 2985444 is about 143.9913189211.

The spelling of 2985444 in words is "two million, nine hundred eighty-five thousand, four hundred forty-four".