2617420 has 24 divisors (see below), whose sum is σ = 5919984. Its totient is φ = 966336.

The previous prime is 2617411. The next prime is 2617427. The reversal of 2617420 is 247162.

2617420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 2617391 and 2617400.

It is not an unprimeable number, because it can be changed into a prime (2617427) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4774 + ... + 5293.

It is an arithmetic number, because the mean of its divisors is an integer number (246666).

2^2617420 is an apocalyptic number.

2617420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2617420 is an abundant number, since it is smaller than the sum of its proper divisors (3302564).

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

2617420 is a wasteful number, since it uses less digits than its factorization.

2617420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10089 (or 10087 counting only the distinct ones).

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

The square root of 2617420 is about 1617.8442446663. The cubic root of 2617420 is about 137.8133021088.

The spelling of 2617420 in words is "two million, six hundred seventeen thousand, four hundred twenty".