2481695328 has 96 divisors (see below), whose sum is σ = 7685314560. Its totient is φ = 686177280.

The previous prime is 2481695311. The next prime is 2481695351. The reversal of 2481695328 is 8235961842.

2481695328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×2481695328³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 38733 + ... + 80396.

It is an arithmetic number, because the mean of its divisors is an integer number (80055360).

Almost surely, 2^2481695328 is an apocalyptic number.

2481695328 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2481695328 is an abundant number, since it is smaller than the sum of its proper divisors (5203619232).

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

2481695328 is a wasteful number, since it uses less digits than its factorization.

2481695328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119180 (or 119172 counting only the distinct ones).

The product of its digits is 829440, while the sum is 48.

The square root of 2481695328 is about 49816.6169867043. The cubic root of 2481695328 is about 1353.8882559036. Note that the first 3 decimals are identical.

The spelling of 2481695328 in words is "two billion, four hundred eighty-one million, six hundred ninety-five thousand, three hundred twenty-eight".