2428296432480 has 576 divisors, whose sum is σ = 8814616836480. Its totient is φ = 607490408448.

The previous prime is 2428296432479. The next prime is 2428296432481. The reversal of 2428296432480 is 842346928242.

2428296432480 is a `hidden beast` number, since 2 + 4 + 2 + 82 + 96 + 432 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2428296432479) and next prime (2428296432481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428296432481) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 363024976 + ... + 363031664.

It is an arithmetic number, because the mean of its divisors is an integer number (15303154230).

Almost surely, 2^{2428296432480} is an apocalyptic number.

2428296432480 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 2428296432480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4407308418240).

2428296432480 is an abundant number, since it is smaller than the sum of its proper divisors (6386320404000).

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

2428296432480 is a wasteful number, since it uses less digits than its factorization.

2428296432480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6943 (or 6932 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 54.

The spelling of 2428296432480 in words is "two trillion, four hundred twenty-eight billion, two hundred ninety-six million, four hundred thirty-two thousand, four hundred eighty".