2466450000 has 720 divisors, whose sum is σ = 10578072960. Its totient is φ = 544320000.

The previous prime is 2466449989. The next prime is 2466450001. The reversal of 2466450000 is 546642.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2466450001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85049986 + ... + 85050014.

It is an arithmetic number, because the mean of its divisors is an integer number (14691768).

Almost surely, 2^2466450000 is an apocalyptic number.

2466450000 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 2466450000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5289036480).

2466450000 is an abundant number, since it is smaller than the sum of its proper divisors (8111622960).

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

2466450000 is an frugal number, since it uses more digits than its factorization.

2466450000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2466450000 is about 49663.3667807570. The cubic root of 2466450000 is about 1351.1101978688.

Adding to 2466450000 its reverse (546642), we get a palindrome (2466996642).

The spelling of 2466450000 in words is "two billion, four hundred sixty-six million, four hundred fifty thousand".