2481725736 has 512 divisors, whose sum is σ = 8870400000. Its totient is φ = 640120320.

The previous prime is 2481725707. The next prime is 2481725747. The reversal of 2481725736 is 6375271842.

2481725736 is a `hidden beast` number, since 2 + 4 + 8 + 1 + 72 + 573 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2481725691 and 2481725700.

It is a congruent number.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 57714531 + ... + 57714573.

It is an arithmetic number, because the mean of its divisors is an integer number (17325000).

Almost surely, 2^2481725736 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2481725736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4435200000).

2481725736 is an abundant number, since it is smaller than the sum of its proper divisors (6388674264).

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

2481725736 is a wasteful number, since it uses less digits than its factorization.

2481725736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139 (or 115 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The square root of 2481725736 is about 49816.9221851371. The cubic root of 2481725736 is about 1353.8937855732.

The spelling of 2481725736 in words is "two billion, four hundred eighty-one million, seven hundred twenty-five thousand, seven hundred thirty-six".