2481623928 has 192 divisors, whose sum is σ = 7824960000. Its totient is φ = 695920896.

The previous prime is 2481623863. The next prime is 2481623941. The reversal of 2481623928 is 8293261842.

2481623928 is a `hidden beast` number, since 248 + 16 + 2 + 392 + 8 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10932151 + ... + 10932377.

It is an arithmetic number, because the mean of its divisors is an integer number (40755000).

Almost surely, 2^2481623928 is an apocalyptic number.

2481623928 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 2481623928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3912480000).

2481623928 is an abundant number, since it is smaller than the sum of its proper divisors (5343336072).

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

2481623928 is a wasteful number, since it uses less digits than its factorization.

2481623928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 547 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 2481623928 is about 49815.9003532005. The cubic root of 2481623928 is about 1353.8752716951.

The spelling of 2481623928 in words is "two billion, four hundred eighty-one million, six hundred twenty-three thousand, nine hundred twenty-eight".