2428872480 has 288 divisors, whose sum is σ = 8668296000. Its totient is φ = 642235392.

The previous prime is 2428872449. The next prime is 2428872487. The reversal of 2428872480 is 842788242.

2428872480 is a `hidden beast` number, since 24 + 2 + 88 + 72 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428872487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6959346 + ... + 6959694.

It is an arithmetic number, because the mean of its divisors is an integer number (30098250).

Almost surely, 2^2428872480 is an apocalyptic number.

2428872480 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 2428872480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4334148000).

2428872480 is an abundant number, since it is smaller than the sum of its proper divisors (6239423520).

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

2428872480 is a wasteful number, since it uses less digits than its factorization.

2428872480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 458752, while the sum is 45.

The square root of 2428872480 is about 49283.5924015285. The cubic root of 2428872480 is about 1344.2134546177.

The spelling of 2428872480 in words is "two billion, four hundred twenty-eight million, eight hundred seventy-two thousand, four hundred eighty".