2547820 has 48 divisors (see below), whose sum is σ = 6013728. Its totient is φ = 898560.

The previous prime is 2547817. The next prime is 2547821. The reversal of 2547820 is 287452.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (2547821) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7984 + ... + 8296.

It is an arithmetic number, because the mean of its divisors is an integer number (125286).

2^2547820 is an apocalyptic number.

2547820 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 2547820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3006864).

2547820 is an abundant number, since it is smaller than the sum of its proper divisors (3465908).

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

2547820 is a wasteful number, since it uses less digits than its factorization.

2547820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

The square root of 2547820 is about 1596.1892118418. The cubic root of 2547820 is about 136.5807775493.

The spelling of 2547820 in words is "two million, five hundred forty-seven thousand, eight hundred twenty".