2464775632704 has 224 divisors, whose sum is σ = 8131925108736. Its totient is φ = 640093870080.

The previous prime is 2464775632591. The next prime is 2464775632721. The reversal of 2464775632704 is 4072365774642.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126733509 + ... + 126752955.

Almost surely, 2^{2464775632704} is an apocalyptic number.

2464775632704 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 2464775632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4065962554368).

2464775632704 is an abundant number, since it is smaller than the sum of its proper divisors (5667149476032).

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

2464775632704 is a wasteful number, since it uses less digits than its factorization.

2464775632704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28053 (or 28043 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 57.

The spelling of 2464775632704 in words is "two trillion, four hundred sixty-four billion, seven hundred seventy-five million, six hundred thirty-two thousand, seven hundred four".