2482657632 has 288 divisors, whose sum is σ = 8895414528. Its totient is φ = 639249408.

The previous prime is 2482657609. The next prime is 2482657663. The reversal of 2482657632 is 2367562842.

2482657632 is a `hidden beast` number, since 2 + 4 + 8 + 2 + 6 + 5 + 7 + 632 = 666.

2482657632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1125843 + ... + 1128045.

It is an arithmetic number, because the mean of its divisors is an integer number (30886856).

Almost surely, 2^2482657632 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 2482657632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447707264).

2482657632 is an abundant number, since it is smaller than the sum of its proper divisors (6412756896).

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

2482657632 is a wasteful number, since it uses less digits than its factorization.

2482657632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2282 (or 2271 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 2482657632 is about 49826.2745145571. The cubic root of 2482657632 is about 1354.0632281906.

The spelling of 2482657632 in words is "two billion, four hundred eighty-two million, six hundred fifty-seven thousand, six hundred thirty-two".