2464776216 has 192 divisors, whose sum is σ = 8328902400. Its totient is φ = 667087488.

The previous prime is 2464776143. The next prime is 2464776239. The reversal of 2464776216 is 6126774642.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 253786 + ... + 263318.

It is an arithmetic number, because the mean of its divisors is an integer number (43379700).

Almost surely, 2^2464776216 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 2464776216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4164451200).

2464776216 is an abundant number, since it is smaller than the sum of its proper divisors (5864126184).

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

2464776216 is a wasteful number, since it uses less digits than its factorization.

2464776216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9580 (or 9564 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 2464776216 is about 49646.5126267697. The cubic root of 2464776216 is about 1350.8044982622.

The spelling of 2464776216 in words is "two billion, four hundred sixty-four million, seven hundred seventy-six thousand, two hundred sixteen".