2424269664 has 72 divisors (see below), whose sum is σ = 6898902192. Its totient is φ = 807517440.

The previous prime is 2424269651. The next prime is 2424269681. The reversal of 2424269664 is 4669624242.

2424269664 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 658549 + ... + 662219.

It is an arithmetic number, because the mean of its divisors is an integer number (95818086).

Almost surely, 2^2424269664 is an apocalyptic number.

2424269664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2424269664 is an abundant number, since it is smaller than the sum of its proper divisors (4474632528).

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

2424269664 is a wasteful number, since it uses less digits than its factorization.

2424269664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5980 (or 5969 counting only the distinct ones).

The product of its digits is 995328, while the sum is 45.

The square root of 2424269664 is about 49236.8730120019. The cubic root of 2424269664 is about 1343.3638039146.

The spelling of 2424269664 in words is "two billion, four hundred twenty-four million, two hundred sixty-nine thousand, six hundred sixty-four".