2482856064 has 320 divisors, whose sum is σ = 8077839000. Its totient is φ = 756946944.

The previous prime is 2482856063. The next prime is 2482856087. The reversal of 2482856064 is 4606582842.

2482856064 is a `hidden beast` number, since 2 + 4 + 8 + 28 + 560 + 64 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 217857600 + 2264998464 = 14760^2 + 47592^2 .

It is not an unprimeable number, because it can be changed into a prime (2482856063) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22778442 + ... + 22778550.

Almost surely, 2^2482856064 is an apocalyptic number.

2482856064 is a gapful number since it is divisible by the number (24) 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 2482856064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4038919500).

2482856064 is an abundant number, since it is smaller than the sum of its proper divisors (5594982936).

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

2482856064 is an equidigital number, since it uses as much as digits as its factorization.

2482856064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The square root of 2482856064 is about 49828.2657133479. The cubic root of 2482856064 is about 1354.0993027468.

The spelling of 2482856064 in words is "two billion, four hundred eighty-two million, eight hundred fifty-six thousand, sixty-four".