2985920 has 112 divisors (see below), whose sum is σ = 8583168. Its totient is φ = 967680.

The previous prime is 2985901. The next prime is 2985943. The reversal of 2985920 is 295892.

2985920 is digitally balanced in base 2, 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 (112).

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69419 + ... + 69461.

2^2985920 is an apocalyptic number.

2985920 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 2985920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4291584).

2985920 is an abundant number, since it is smaller than the sum of its proper divisors (5597248).

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

2985920 is a wasteful number, since it uses less digits than its factorization.

2985920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 35.

The square root of 2985920 is about 1727.9814813823. The cubic root of 2985920 is about 143.9989711861.

The spelling of 2985920 in words is "two million, nine hundred eighty-five thousand, nine hundred twenty".