2466938880 has 384 divisors, whose sum is σ = 9814521600. Its totient is φ = 561512448.

The previous prime is 2466938869. The next prime is 2466938893. The reversal of 2466938880 is 888396642.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10321801 + ... + 10322039.

It is an arithmetic number, because the mean of its divisors is an integer number (25558650).

Almost surely, 2^2466938880 is an apocalyptic number.

2466938880 is a gapful number since it is divisible by the number (20) 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 2466938880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4907260800).

2466938880 is an abundant number, since it is smaller than the sum of its proper divisors (7347582720).

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

2466938880 is an equidigital number, since it uses as much as digits as its factorization.

2466938880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The square root of 2466938880 is about 49668.2884746394. The cubic root of 2466938880 is about 1351.1994607252.

The spelling of 2466938880 in words is "two billion, four hundred sixty-six million, nine hundred thirty-eight thousand, eight hundred eighty".