2406049920 has 320 divisors, whose sum is σ = 8672970240. Its totient is φ = 638254080.

The previous prime is 2406049889. The next prime is 2406049937. The reversal of 2406049920 is 299406042.

2406049920 is a `hidden beast` number, since 2 + 40 + 604 + 9 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 39 ways as a sum of consecutive naturals, for example, 12597025 + ... + 12597215.

It is an arithmetic number, because the mean of its divisors is an integer number (27103032).

Almost surely, 2^2406049920 is an apocalyptic number.

2406049920 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 2406049920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4336485120).

2406049920 is an abundant number, since it is smaller than the sum of its proper divisors (6266920320).

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

2406049920 is an frugal number, since it uses more digits than its factorization.

2406049920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2406049920 is about 49051.5027292743. The cubic root of 2406049920 is about 1339.9899605693.

The spelling of 2406049920 in words is "two billion, four hundred six million, forty-nine thousand, nine hundred twenty".