2479441536 has 512 divisors, whose sum is σ = 8944992000. Its totient is φ = 665763840.

The previous prime is 2479441529. The next prime is 2479441571. The reversal of 2479441536 is 6351449742.

2479441536 is a `hidden beast` number, since 2 + 4 + 79 + 4 + 41 + 536 = 666.

It is a super-2 number, since 2×2479441536² = 12295260660884078592, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2479441491 and 2479441500.

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, 14331946 + ... + 14332118.

Almost surely, 2^2479441536 is an apocalyptic number.

2479441536 is a gapful number since it is divisible by the number (26) 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 2479441536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4472496000).

2479441536 is an abundant number, since it is smaller than the sum of its proper divisors (6465550464).

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

2479441536 is a wasteful number, since it uses less digits than its factorization.

2479441536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The square root of 2479441536 is about 49793.9909627658. The cubic root of 2479441536 is about 1353.4782798853.

The spelling of 2479441536 in words is "two billion, four hundred seventy-nine million, four hundred forty-one thousand, five hundred thirty-six".