2466742300 has 144 divisors (see below), whose sum is σ = 6038613504. Its totient is φ = 874104000.

The previous prime is 2466742273. The next prime is 2466742303. The reversal of 2466742300 is 32476642.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2466742303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5723085 + ... + 5723515.

It is an arithmetic number, because the mean of its divisors is an integer number (41934816).

Almost surely, 2^2466742300 is an apocalyptic number.

2466742300 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 2466742300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3019306752).

2466742300 is an abundant number, since it is smaller than the sum of its proper divisors (3571871204).

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

2466742300 is a wasteful number, since it uses less digits than its factorization.

2466742300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 2466742300 is about 49666.3095065458. The cubic root of 2466742300 is about 1351.1635693015.

The spelling of 2466742300 in words is "two billion, four hundred sixty-six million, seven hundred forty-two thousand, three hundred".