2547920 has 20 divisors (see below), whose sum is σ = 5924100. Its totient is φ = 1019136.

The previous prime is 2547913. The next prime is 2547929. The reversal of 2547920 is 297452.

It can be written as a sum of positive squares in 2 ways, for example, as 1098304 + 1449616 = 1048^2 + 1204^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2547929) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 15845 + ... + 16004.

It is an arithmetic number, because the mean of its divisors is an integer number (296205).

2^2547920 is an apocalyptic number.

2547920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2547920 is an abundant number, since it is smaller than the sum of its proper divisors (3376180).

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

2547920 is a wasteful number, since it uses less digits than its factorization.

2547920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31862 (or 31856 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 2547920 is about 1596.2205361415. The cubic root of 2547920 is about 136.5825644232.

The spelling of 2547920 in words is "two million, five hundred forty-seven thousand, nine hundred twenty".