2408505264 has 120 divisors (see below), whose sum is σ = 7406817600. Its totient is φ = 724533120.

The previous prime is 2408505263. The next prime is 2408505299. The reversal of 2408505264 is 4625058042.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (2408505263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 214707 + ... + 225645.

It is an arithmetic number, because the mean of its divisors is an integer number (61723480).

Almost surely, 2^2408505264 is an apocalyptic number.

2408505264 is a gapful number since it is divisible by the number (24) 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 2408505264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703408800).

2408505264 is an abundant number, since it is smaller than the sum of its proper divisors (4998312336).

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

2408505264 is a wasteful number, since it uses less digits than its factorization.

2408505264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11103 (or 11094 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The square root of 2408505264 is about 49076.5245713264. The cubic root of 2408505264 is about 1340.4456199657.

The spelling of 2408505264 in words is "two billion, four hundred eight million, five hundred five thousand, two hundred sixty-four".