2428907520 has 208 divisors, whose sum is σ = 8372119392. Its totient is φ = 597688320.

The previous prime is 2428907477. The next prime is 2428907531. The reversal of 2428907520 is 257098242.

It is a tau number, because it is divible by the number of its divisors (208).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 797200 + ... + 800240.

It is an arithmetic number, because the mean of its divisors is an integer number (40250574).

Almost surely, 2^2428907520 is an apocalyptic number.

2428907520 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 2428907520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4186059696).

2428907520 is an abundant number, since it is smaller than the sum of its proper divisors (5943211872).

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

2428907520 is a wasteful number, since it uses less digits than its factorization.

2428907520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086 (or 3064 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The square root of 2428907520 is about 49283.9478938122. The cubic root of 2428907520 is about 1344.2199186613.

The spelling of 2428907520 in words is "two billion, four hundred twenty-eight million, nine hundred seven thousand, five hundred twenty".