2428961688 has 128 divisors (see below), whose sum is σ = 7010841600. Its totient is φ = 778579200.

The previous prime is 2428961669. The next prime is 2428961723. The reversal of 2428961688 is 8861698242.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 626845 + ... + 630707.

It is an arithmetic number, because the mean of its divisors is an integer number (54772200).

Almost surely, 2^2428961688 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 2428961688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3505420800).

2428961688 is an abundant number, since it is smaller than the sum of its proper divisors (4581879912).

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

2428961688 is a wasteful number, since it uses less digits than its factorization.

2428961688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3980 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The square root of 2428961688 is about 49284.4974408789. The cubic root of 2428961688 is about 1344.2299112420.

The spelling of 2428961688 in words is "two billion, four hundred twenty-eight million, nine hundred sixty-one thousand, six hundred eighty-eight".