2456666000 has 40 divisors (see below), whose sum is σ = 5940223224. Its totient is φ = 982665600.

The previous prime is 2456665999. The next prime is 2456666059. The reversal of 2456666000 is 6666542.

It can be written as a sum of positive squares in 4 ways, for example, as 29724304 + 2426941696 = 5452^2 + 49264^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 612167 + ... + 616166.

Almost surely, 2^2456666000 is an apocalyptic number.

2456666000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2456666000 is an abundant number, since it is smaller than the sum of its proper divisors (3483557224).

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

2456666000 is a wasteful number, since it uses less digits than its factorization.

2456666000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1228356 (or 1228340 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

The square root of 2456666000 is about 49564.7657111380. The cubic root of 2456666000 is about 1349.3212866342.

The spelling of 2456666000 in words is "two billion, four hundred fifty-six million, six hundred sixty-six thousand".