2428041928704 has 672 divisors, whose sum is σ = 7837845290496. Its totient is φ = 665887703040.

The previous prime is 2428041928693. The next prime is 2428041928729. The reversal of 2428041928704 is 4078291408242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7204872024 + ... + 7204872360.

Almost surely, 2^{2428041928704} is an apocalyptic number.

2428041928704 is a gapful number since it is divisible by the number (24) 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 2428041928704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3918922645248).

2428041928704 is an abundant number, since it is smaller than the sum of its proper divisors (5409803361792).

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

2428041928704 is a wasteful number, since it uses less digits than its factorization.

2428041928704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 573 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 51.

The spelling of 2428041928704 in words is "two trillion, four hundred twenty-eight billion, forty-one million, nine hundred twenty-eight thousand, seven hundred four".