2466846720 has 576 divisors, whose sum is σ = 9658958400. Its totient is φ = 578027520.

The previous prime is 2466846719. The next prime is 2466846751. The reversal of 2466846720 is 276486642.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 34744285 + ... + 34744355.

It is an arithmetic number, because the mean of its divisors is an integer number (16769025).

Almost surely, 2^2466846720 is an apocalyptic number.

2466846720 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 2466846720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4829479200).

2466846720 is an abundant number, since it is smaller than the sum of its proper divisors (7192111680).

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

2466846720 is a wasteful number, since it uses less digits than its factorization.

2466846720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The square root of 2466846720 is about 49667.3607110344. The cubic root of 2466846720 is about 1351.1826344614.

The spelling of 2466846720 in words is "two billion, four hundred sixty-six million, eight hundred forty-six thousand, seven hundred twenty".