2451466000 has 80 divisors (see below), whose sum is σ = 5950833408. Its totient is φ = 976752000.

The previous prime is 2451465967. The next prime is 2451466001. The reversal of 2451466000 is 6641542.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 2451466000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2451466001) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 539739 + ... + 544261.

Almost surely, 2^2451466000 is an apocalyptic number.

2451466000 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 2451466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2975416704).

2451466000 is an abundant number, since it is smaller than the sum of its proper divisors (3499367408).

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

2451466000 is a wasteful number, since it uses less digits than its factorization.

2451466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4817 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

The square root of 2451466000 is about 49512.2813047430. The cubic root of 2451466000 is about 1348.3685825651.

The spelling of 2451466000 in words is "two billion, four hundred fifty-one million, four hundred sixty-six thousand".