2472144720 has 240 divisors, whose sum is σ = 8264679360. Its totient is φ = 609583104.

The previous prime is 2472144713. The next prime is 2472144749. The reversal of 2472144720 is 274412742.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×2472144720² = 12222999033247756800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12808944 + ... + 12809136.

It is an arithmetic number, because the mean of its divisors is an integer number (34436164).

Almost surely, 2^2472144720 is an apocalyptic number.

2472144720 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 2472144720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4132339680).

2472144720 is an abundant number, since it is smaller than the sum of its proper divisors (5792534640).

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

2472144720 is a wasteful number, since it uses less digits than its factorization.

2472144720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 33.

The square root of 2472144720 is about 49720.6669303621. Note that the first 3 decimals coincide. The cubic root of 2472144720 is about 1352.1492459217.

The spelling of 2472144720 in words is "two billion, four hundred seventy-two million, one hundred forty-four thousand, seven hundred twenty".