2466864800 has 36 divisors (see below), whose sum is σ = 6022235646. Its totient is φ = 986745600.

The previous prime is 2466864767. The next prime is 2466864811. The reversal of 2466864800 is 84686642.

It can be written as a sum of positive squares in 3 ways, for example, as 1973847184 + 493017616 = 44428^2 + 22204^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1540991 + ... + 1542590.

Almost surely, 2^2466864800 is an apocalyptic number.

2466864800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2466864800 is an abundant number, since it is smaller than the sum of its proper divisors (3555370846).

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

2466864800 is a wasteful number, since it uses less digits than its factorization.

2466864800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3083601 (or 3083588 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 44.

The square root of 2466864800 is about 49667.5427215803. The cubic root of 2466864800 is about 1351.1859354802.

The spelling of 2466864800 in words is "two billion, four hundred sixty-six million, eight hundred sixty-four thousand, eight hundred".