2642160 has 80 divisors (see below), whose sum is σ = 8347680. Its totient is φ = 691200.

The previous prime is 2642149. The next prime is 2642173. The reversal of 2642160 is 612462.

2642160 = T₁₁₅ + T₁₁₆ + ... + T₂₅₈.

It is a happy number.

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

It is an Ulam number.

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, 24186 + ... + 24294.

It is an arithmetic number, because the mean of its divisors is an integer number (104346).

2^2642160 is an apocalyptic number.

2642160 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 2642160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173840).

2642160 is an abundant number, since it is smaller than the sum of its proper divisors (5705520).

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

2642160 is a wasteful number, since it uses less digits than its factorization.

2642160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 2642160 is about 1625.4722390739. The cubic root of 2642160 is about 138.2461475425.

The spelling of 2642160 in words is "two million, six hundred forty-two thousand, one hundred sixty".