2610160 has 80 divisors (see below), whose sum is σ = 7142400. Its totient is φ = 868608.

The previous prime is 2610137. The next prime is 2610161. The reversal of 2610160 is 610162.

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 (16).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2610161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33001 + ... + 33079.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

2^2610160 is an apocalyptic number.

2610160 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 2610160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3571200).

2610160 is an abundant number, since it is smaller than the sum of its proper divisors (4532240).

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

2610160 is a wasteful number, since it uses less digits than its factorization.

2610160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2610160 is about 1615.5989601383. The cubic root of 2610160 is about 137.6857654428.

The spelling of 2610160 in words is "two million, six hundred ten thousand, one hundred sixty".