2464081920 has 144 divisors (see below), whose sum is σ = 8540384580. Its totient is φ = 657063936.

The previous prime is 2464081913. The next prime is 2464081957. The reversal of 2464081920 is 291804642.

2464081920 is a `hidden beast` number, since 2 + 4 + 640 + 8 + 1 + 9 + 2 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2463335424 + 746496 = 49632^2 + 864^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 78792 + ... + 105528.

Almost surely, 2^2464081920 is an apocalyptic number.

2464081920 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 2464081920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270192290).

2464081920 is an abundant number, since it is smaller than the sum of its proper divisors (6076302660).

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

2464081920 is a wasteful number, since it uses less digits than its factorization.

2464081920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26770 (or 26747 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 2464081920 is about 49639.5197398202. The cubic root of 2464081920 is about 1350.6776515559.

The spelling of 2464081920 in words is "two billion, four hundred sixty-four million, eighty-one thousand, nine hundred twenty".