2424701664 has 288 divisors, whose sum is σ = 8763116544. Its totient is φ = 617610240.

The previous prime is 2424701639. The next prime is 2424701707. The reversal of 2424701664 is 4661074242.

2424701664 is a `hidden beast` number, since 2 + 424 + 70 + 166 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1174297 + ... + 1176359.

It is an arithmetic number, because the mean of its divisors is an integer number (30427488).

Almost surely, 2^2424701664 is an apocalyptic number.

2424701664 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 2424701664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4381558272).

2424701664 is an abundant number, since it is smaller than the sum of its proper divisors (6338414880).

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

2424701664 is a wasteful number, since it uses less digits than its factorization.

2424701664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2424701664 is about 49241.2597726744. The cubic root of 2424701664 is about 1343.4435940887.

The spelling of 2424701664 in words is "two billion, four hundred twenty-four million, seven hundred one thousand, six hundred sixty-four".