2647120 has 80 divisors (see below), whose sum is σ = 7320960. Its totient is φ = 870912.

The previous prime is 2647111. The next prime is 2647133. The reversal of 2647120 is 217462.

2647120 = T₁₅₉ + T₁₆₀ + ... + T₂₇₀.

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

It is a junction number, because it is equal to n+sod(n) for n = 2647091 and 2647100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16159 + ... + 16321.

It is an arithmetic number, because the mean of its divisors is an integer number (91512).

2^2647120 is an apocalyptic number.

2647120 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 2647120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3660480).

2647120 is an abundant number, since it is smaller than the sum of its proper divisors (4673840).

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

2647120 is a wasteful number, since it uses less digits than its factorization.

2647120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 22.

The square root of 2647120 is about 1626.9972341710. The cubic root of 2647120 is about 138.3326010832.

The spelling of 2647120 in words is "two million, six hundred forty-seven thousand, one hundred twenty".