2416728000 has 224 divisors, whose sum is σ = 8067129408. Its totient is φ = 637440000.

The previous prime is 2416727981. The next prime is 2416728019. The reversal of 2416728000 is 8276142.

It is an interprime number because it is at equal distance from previous prime (2416727981) and next prime (2416728019).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2423502 + ... + 2424498.

Almost surely, 2^2416728000 is an apocalyptic number.

2416728000 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 2416728000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4033564704).

2416728000 is an abundant number, since it is smaller than the sum of its proper divisors (5650401408).

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

2416728000 is a wasteful number, since it uses less digits than its factorization.

2416728000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1128 (or 1108 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 2416728000 is about 49160.2278269741. The cubic root of 2416728000 is about 1341.9693327599.

The spelling of 2416728000 in words is "two billion, four hundred sixteen million, seven hundred twenty-eight thousand".