2466216720 has 480 divisors, whose sum is σ = 9879367680. Its totient is φ = 565470720.

The previous prime is 2466216719. The next prime is 2466216733. The reversal of 2466216720 is 276126642.

2466216720 is a `hidden beast` number, since 2 + 4 + 6 + 621 + 6 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4062657 + ... + 4063263.

It is an arithmetic number, because the mean of its divisors is an integer number (20582016).

Almost surely, 2^2466216720 is an apocalyptic number.

2466216720 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 2466216720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939683840).

2466216720 is an abundant number, since it is smaller than the sum of its proper divisors (7413150960).

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

2466216720 is a wasteful number, since it uses less digits than its factorization.

2466216720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 665 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2466216720 is about 49661.0181128015. The cubic root of 2466216720 is about 1351.0675999481.

The spelling of 2466216720 in words is "two billion, four hundred sixty-six million, two hundred sixteen thousand, seven hundred twenty".