2481779328 has 128 divisors (see below), whose sum is σ = 7577082240. Its totient is φ = 705024000.

The previous prime is 2481779309. The next prime is 2481779351. The reversal of 2481779328 is 8239771842.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 483978 + ... + 489078.

It is an arithmetic number, because the mean of its divisors is an integer number (59195955).

Almost surely, 2^2481779328 is an apocalyptic number.

2481779328 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 2481779328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3788541120).

2481779328 is an abundant number, since it is smaller than the sum of its proper divisors (5095302912).

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

2481779328 is a wasteful number, since it uses less digits than its factorization.

2481779328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5306 (or 5294 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 2481779328 is about 49817.4600717459. The cubic root of 2481779328 is about 1353.9035311241.

The spelling of 2481779328 in words is "two billion, four hundred eighty-one million, seven hundred seventy-nine thousand, three hundred twenty-eight".