2428007721216 has 576 divisors, whose sum is σ = 8653870848000. Its totient is φ = 597445632000.

The previous prime is 2428007721173. The next prime is 2428007721247. The reversal of 2428007721216 is 6121277008242.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 55033566 + ... + 55077666.

Almost surely, 2^{2428007721216} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2428007721216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4326935424000).

2428007721216 is an abundant number, since it is smaller than the sum of its proper divisors (6225863126784).

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

2428007721216 is a wasteful number, since it uses less digits than its factorization.

2428007721216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44171 (or 44143 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The spelling of 2428007721216 in words is "two trillion, four hundred twenty-eight billion, seven million, seven hundred twenty-one thousand, two hundred sixteen".