2464525440 has 768 divisors, whose sum is σ = 10104756480. Its totient is φ = 569327616.

The previous prime is 2464525439. The next prime is 2464525447. The reversal of 2464525440 is 445254642.

2464525440 is a `hidden beast` number, since 2 + 4 + 64 + 52 + 544 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2464525395 and 2464525404.

It is not an unprimeable number, because it can be changed into a prime (2464525447) 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, 46500454 + ... + 46500506.

It is an arithmetic number, because the mean of its divisors is an integer number (13157235).

Almost surely, 2^2464525440 is an apocalyptic number.

2464525440 is a gapful number since it is divisible by the number (20) 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 2464525440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5052378240).

2464525440 is an abundant number, since it is smaller than the sum of its proper divisors (7640231040).

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

2464525440 is a wasteful number, since it uses less digits than its factorization.

2464525440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 36.

The square root of 2464525440 is about 49643.9869470614. The cubic root of 2464525440 is about 1350.7586846591.

The spelling of 2464525440 in words is "two billion, four hundred sixty-four million, five hundred twenty-five thousand, four hundred forty".