2428797880320 has 1728 divisors, whose sum is σ = 9879437393280. Its totient is φ = 506847559680.

The previous prime is 2428797880319. The next prime is 2428797880321. The reversal of 2428797880320 is 230887978242.

It is an interprime number because it is at equal distance from previous prime (2428797880319) and next prime (2428797880321).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is not an unprimeable number, because it can be changed into a prime (2428797880321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 33271203804 + ... + 33271203876.

It is an arithmetic number, because the mean of its divisors is an integer number (5717267010).

Almost surely, 2^{2428797880320} is an apocalyptic number.

2428797880320 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 2428797880320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4939718696640).

2428797880320 is an abundant number, since it is smaller than the sum of its proper divisors (7450639512960).

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

2428797880320 is a wasteful number, since it uses less digits than its factorization.

2428797880320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 60.

The spelling of 2428797880320 in words is "two trillion, four hundred twenty-eight billion, seven hundred ninety-seven million, eight hundred eighty thousand, three hundred twenty".