2428369920 has 264 divisors, whose sum is σ = 8494231200. Its totient is φ = 641433600.

The previous prime is 2428369919. The next prime is 2428369943. The reversal of 2428369920 is 299638242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6957906 + ... + 6958254.

Almost surely, 2^2428369920 is an apocalyptic number.

2428369920 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 2428369920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4247115600).

2428369920 is an abundant number, since it is smaller than the sum of its proper divisors (6065861280).

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

2428369920 is a wasteful number, since it uses less digits than its factorization.

2428369920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The square root of 2428369920 is about 49278.4934834660. The cubic root of 2428369920 is about 1344.1207374526.

The spelling of 2428369920 in words is "two billion, four hundred twenty-eight million, three hundred sixty-nine thousand, nine hundred twenty".