2450105280 has 448 divisors, whose sum is σ = 10463662080. Its totient is φ = 526860288.

The previous prime is 2450105261. The next prime is 2450105353. The reversal of 2450105280 is 825010542.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1026969 + ... + 1029351.

Almost surely, 2^2450105280 is an apocalyptic number.

2450105280 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 2450105280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5231831040).

2450105280 is an abundant number, since it is smaller than the sum of its proper divisors (8013556800).

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

2450105280 is a wasteful number, since it uses less digits than its factorization.

2450105280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2433 (or 2417 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2450105280 is about 49498.5381602326. The cubic root of 2450105280 is about 1348.1190595354.

The spelling of 2450105280 in words is "two billion, four hundred fifty million, one hundred five thousand, two hundred eighty".