2890160 has 80 divisors (see below), whose sum is σ = 8291136. Its totient is φ = 912384.

The previous prime is 2890141. The next prime is 2890183. The reversal of 2890160 is 610982.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7082 + ... + 7478.

2^2890160 is an apocalyptic number.

2890160 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 2890160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145568).

2890160 is an abundant number, since it is smaller than the sum of its proper divisors (5400976).

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

2890160 is a wasteful number, since it uses less digits than its factorization.

2890160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 2890160 is about 1700.0470581722. The cubic root of 2890160 is about 142.4428415472.

It can be divided in two parts, 2890 and 160, that multiplied together give a square (462400 = 680²).

The spelling of 2890160 in words is "two million, eight hundred ninety thousand, one hundred sixty".