2251609920 has 448 divisors, whose sum is σ = 9246412800. Its totient is φ = 505128960.

The previous prime is 2251609879. The next prime is 2251609937. The reversal of 2251609920 is 299061522.

It is a happy number.

2251609920 is a `hidden beast` number, since 2 + 25 + 1 + 609 + 9 + 20 = 666.

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 (36).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 3568005 + ... + 3568635.

Almost surely, 2^2251609920 is an apocalyptic number.

2251609920 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 2251609920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623206400).

2251609920 is an abundant number, since it is smaller than the sum of its proper divisors (6994802880).

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

2251609920 is a wasteful number, since it uses less digits than its factorization.

2251609920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2251609920 is about 47451.1319148448. The cubic root of 2251609920 is about 1310.6831547401.

It can be divided in two parts, 2251 and 609920, that added together give a triangular number (612171 = T₁₁₀₆).

The spelling of 2251609920 in words is "two billion, two hundred fifty-one million, six hundred nine thousand, nine hundred twenty".