2481772608 has 448 divisors, whose sum is σ = 8997696000. Its totient is φ = 662888448.

The previous prime is 2481772589. The next prime is 2481772627. The reversal of 2481772608 is 8062771842.

2481772608 is a `hidden beast` number, since 24 + 8 + 17 + 7 + 2 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (2481772589) and next prime (2481772627).

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-3 number, since 3×2481772608³ (a number of 29 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16656118 + ... + 16656266.

Almost surely, 2^2481772608 is an apocalyptic number.

2481772608 is a gapful number since it is divisible by the number (28) 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 2481772608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4498848000).

2481772608 is an abundant number, since it is smaller than the sum of its proper divisors (6515923392).

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

2481772608 is an equidigital number, since it uses as much as digits as its factorization.

2481772608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 178 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The square root of 2481772608 is about 49817.3926254677. The cubic root of 2481772608 is about 1353.9023091191.

The spelling of 2481772608 in words is "two billion, four hundred eighty-one million, seven hundred seventy-two thousand, six hundred eight".