2408269968 has 480 divisors, whose sum is σ = 8189475840. Its totient is φ = 679311360.

The previous prime is 2408269967. The next prime is 2408269973. The reversal of 2408269968 is 8699628042.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2408269967) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 45439030 + ... + 45439082.

It is an arithmetic number, because the mean of its divisors is an integer number (17061408).

Almost surely, 2^2408269968 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 2408269968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4094737920).

2408269968 is an abundant number, since it is smaller than the sum of its proper divisors (5781205872).

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

2408269968 is a wasteful number, since it uses less digits than its factorization.

2408269968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2408269968 is about 49074.1272770082. The cubic root of 2408269968 is about 1340.4019674746.

The spelling of 2408269968 in words is "two billion, four hundred eight million, two hundred sixty-nine thousand, nine hundred sixty-eight".