2468005120 has 72 divisors (see below), whose sum is σ = 6756188544. Its totient is φ = 846170112.

The previous prime is 2468005091. The next prime is 2468005129. The reversal of 2468005120 is 215008642.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468005129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 128764 + ... + 146683.

It is an arithmetic number, because the mean of its divisors is an integer number (93835952).

Almost surely, 2^2468005120 is an apocalyptic number.

2468005120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2468005120 is an abundant number, since it is smaller than the sum of its proper divisors (4288183424).

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

2468005120 is an equidigital number, since it uses as much as digits as its factorization.

2468005120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275475 (or 275461 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 2468005120 is about 49679.0209243298. The cubic root of 2468005120 is about 1351.3941007859.

The spelling of 2468005120 in words is "two billion, four hundred sixty-eight million, five thousand, one hundred twenty".