2424676080 has 160 divisors (see below), whose sum is σ = 7809500160. Its totient is φ = 621573120.

The previous prime is 2424676069. The next prime is 2424676099. The reversal of 2424676080 is 806764242.

It is a Cunningham number, because it is equal to 49241²-1.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1969065 + ... + 1970295.

It is an arithmetic number, because the mean of its divisors is an integer number (48809376).

Almost surely, 2^2424676080 is an apocalyptic number.

2424676080 is a gapful number since it is divisible by the number (20) 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 2424676080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3904750080).

2424676080 is an abundant number, since it is smaller than the sum of its proper divisors (5384824080).

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

2424676080 is a wasteful number, since it uses less digits than its factorization.

2424676080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1559 (or 1553 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 39.

The square root of 2424676080 is about 49240.9999898459. Note that the first 4 decimals coincide. The cubic root of 2424676080 is about 1343.4388690013.

The spelling of 2424676080 in words is "two billion, four hundred twenty-four million, six hundred seventy-six thousand, eighty".