2464431578496 has 320 divisors, whose sum is σ = 7728306154800. Its totient is φ = 777415864320.

The previous prime is 2464431578467. The next prime is 2464431578501. The reversal of 2464431578496 is 6948751344642.

2464431578496 is a `hidden beast` number, since 2 + 4 + 6 + 44 + 31 + 5 + 78 + 496 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 201122706 + ... + 201134958.

Almost surely, 2^{2464431578496} 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 2464431578496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3864153077400).

2464431578496 is an abundant number, since it is smaller than the sum of its proper divisors (5263874576304).

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

2464431578496 is a wasteful number, since it uses less digits than its factorization.

2464431578496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13319 (or 13298 counting only the distinct ones).

The product of its digits is 139345920, while the sum is 63.

The spelling of 2464431578496 in words is "two trillion, four hundred sixty-four billion, four hundred thirty-one million, five hundred seventy-eight thousand, four hundred ninety-six".