2408322048 has 352 divisors, whose sum is σ = 7671828480. Its totient is φ = 669081600.

The previous prime is 2408322047. The next prime is 2408322061. The reversal of 2408322048 is 8402238042.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2408322043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77687793 + ... + 77687823.

Almost surely, 2^2408322048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2408322048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3835914240).

2408322048 is an abundant number, since it is smaller than the sum of its proper divisors (5263506432).

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

2408322048 is a wasteful number, since it uses less digits than its factorization.

2408322048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 2408322048 is about 49074.6578999793. The cubic root of 2408322048 is about 1340.4116296847.

The spelling of 2408322048 in words is "two billion, four hundred eight million, three hundred twenty-two thousand, forty-eight".