2462876064 has 384 divisors, whose sum is σ = 8622028800. Its totient is φ = 675164160.

The previous prime is 2462876051. The next prime is 2462876081. The reversal of 2462876064 is 4606782642.

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 63 ways as a sum of consecutive naturals, for example, 4152952 + ... + 4153544.

It is an arithmetic number, because the mean of its divisors is an integer number (22453200).

Almost surely, 2^2462876064 is an apocalyptic number.

2462876064 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 2462876064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4311014400).

2462876064 is an abundant number, since it is smaller than the sum of its proper divisors (6159152736).

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

2462876064 is a wasteful number, since it uses less digits than its factorization.

2462876064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2462876064 is about 49627.3721246652. The cubic root of 2462876064 is about 1350.4572870604.

The spelling of 2462876064 in words is "two billion, four hundred sixty-two million, eight hundred seventy-six thousand, sixty-four".