2643120 has 60 divisors (see below), whose sum is σ = 8878896. Its totient is φ = 704640.

The previous prime is 2643119. The next prime is 2643131. The reversal of 2643120 is 213462.

It is a happy number.

2643120 is a `hidden beast` number, since 2 + 643 + 1 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a d-powerful number, because it can be written as 2¹⁹ + 6³ + 4 + 3¹³ + 1 + 2¹⁹ + 0 .

It is a junction number, because it is equal to n+sod(n) for n = 2643093 and 2643102.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1116 + ... + 2555.

2^2643120 is an apocalyptic number.

2643120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2643120 is an abundant number, since it is smaller than the sum of its proper divisors (6235776).

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

2643120 is a wasteful number, since it uses less digits than its factorization.

2643120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3690 (or 3681 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2643120 is about 1625.7675110544. The cubic root of 2643120 is about 138.2628889247.

Adding to 2643120 its reverse (213462), we get a palindrome (2856582).

The spelling of 2643120 in words is "two million, six hundred forty-three thousand, one hundred twenty".