2547210240 has 480 divisors, whose sum is σ = 9489720240. Its totient is φ = 652935168.

The previous prime is 2547210163. The next prime is 2547210241. The reversal of 2547210240 is 420127452.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2547210241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 30689239 + ... + 30689321.

Almost surely, 2^2547210240 is an apocalyptic number.

2547210240 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 2547210240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744860120).

2547210240 is an abundant number, since it is smaller than the sum of its proper divisors (6942510000).

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

2547210240 is an equidigital number, since it uses as much as digits as its factorization.

2547210240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 2547210240 is about 50469.8943925980. The cubic root of 2547210240 is about 1365.6988089524.

Adding to 2547210240 its reverse (420127452), we get a palindrome (2967337692).

The spelling of 2547210240 in words is "two billion, five hundred forty-seven million, two hundred ten thousand, two hundred forty".