2464754688 has 264 divisors, whose sum is σ = 7966694736. Its totient is φ = 727449600.

The previous prime is 2464754687. The next prime is 2464754717. The reversal of 2464754688 is 8864574642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (264).

It is not an unprimeable number, because it can be changed into a prime (2464754687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4156120 + ... + 4156712.

It is an arithmetic number, because the mean of its divisors is an integer number (30176874).

Almost surely, 2^2464754688 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 2464754688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3983347368).

2464754688 is an abundant number, since it is smaller than the sum of its proper divisors (5501940048).

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

2464754688 is a wasteful number, since it uses less digits than its factorization.

2464754688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 650 counting only the distinct ones).

The product of its digits is 10321920, while the sum is 54.

The square root of 2464754688 is about 49646.2958134844. The cubic root of 2464754688 is about 1350.8005654909.

The spelling of 2464754688 in words is "two billion, four hundred sixty-four million, seven hundred fifty-four thousand, six hundred eighty-eight".