2464849989504 has 1920 divisors, whose sum is σ = 9609777408000. Its totient is φ = 611917701120.

The previous prime is 2464849989493. The next prime is 2464849989533. The reversal of 2464849989504 is 4059899484642.

2464849989504 is a `hidden beast` number, since 2 + 4 + 6 + 4 + 8 + 499 + 89 + 50 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 22613302602 + ... + 22613302710.

It is an arithmetic number, because the mean of its divisors is an integer number (5005092400).

Almost surely, 2^{2464849989504} is an apocalyptic number.

2464849989504 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 2464849989504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4804888704000).

2464849989504 is an abundant number, since it is smaller than the sum of its proper divisors (7144927418496).

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

2464849989504 is a wasteful number, since it uses less digits than its factorization.

2464849989504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 716636160, while the sum is 72.

The spelling of 2464849989504 in words is "two trillion, four hundred sixty-four billion, eight hundred forty-nine million, nine hundred eighty-nine thousand, five hundred four".