2428629616 has 80 divisors (see below), whose sum is σ = 5626497024. Its totient is φ = 992927232.

The previous prime is 2428629607. The next prime is 2428629617. The reversal of 2428629616 is 6169268242.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2428629617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1176201 + ... + 1178263.

Almost surely, 2^2428629616 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 2428629616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813248512).

2428629616 is an abundant number, since it is smaller than the sum of its proper divisors (3197867408).

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

2428629616 is a wasteful number, since it uses less digits than its factorization.

2428629616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its digits is 497664, while the sum is 46.

The square root of 2428629616 is about 49281.1283961721. The cubic root of 2428629616 is about 1344.1686502979.

The spelling of 2428629616 in words is "two billion, four hundred twenty-eight million, six hundred twenty-nine thousand, six hundred sixteen".