2472720000 has 160 divisors (see below), whose sum is σ = 8208372480. Its totient is φ = 659328000.

The previous prime is 2472719993. The next prime is 2472720007. The reversal of 2472720000 is 272742.

It is an interprime number because it is at equal distance from previous prime (2472719993) and next prime (2472720007).

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×2472720000² = 12228688396800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (2472720007) 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 19 ways as a sum of consecutive naturals, for example, 234849 + ... + 245151.

It is an arithmetic number, because the mean of its divisors is an integer number (51302328).

Almost surely, 2^2472720000 is an apocalyptic number.

2472720000 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 2472720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4104186240).

2472720000 is an abundant number, since it is smaller than the sum of its proper divisors (5735652480).

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

2472720000 is an equidigital number, since it uses as much as digits as its factorization.

2472720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10340 (or 10313 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 24.

The square root of 2472720000 is about 49726.4517133487. The cubic root of 2472720000 is about 1352.2541216709.

Adding to 2472720000 its reverse (272742), we get a palindrome (2472992742).

The spelling of 2472720000 in words is "two billion, four hundred seventy-two million, seven hundred twenty thousand".