2985840 has 240 divisors, whose sum is σ = 12186720. Its totient is φ = 645120.

The previous prime is 2985817. The next prime is 2985847. The reversal of 2985840 is 485892.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 2985795 and 2985804.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2985847) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 102946 + ... + 102974.

It is an arithmetic number, because the mean of its divisors is an integer number (50778).

2^2985840 is an apocalyptic number.

2985840 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 2985840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6093360).

2985840 is an abundant number, since it is smaller than the sum of its proper divisors (9200880).

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

2985840 is a wasteful number, since it uses less digits than its factorization.

2985840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 2985840 is about 1727.9583328310. The cubic root of 2985840 is about 143.9976851480.

The spelling of 2985840 in words is "two million, nine hundred eighty-five thousand, eight hundred forty".