2249387520 has 160 divisors (see below), whose sum is σ = 7236849312. Its totient is φ = 596017152.

The previous prime is 2249387501. The next prime is 2249387527. The reversal of 2249387520 is 257839422.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2249387527) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1327794 + ... + 1329486.

Almost surely, 2^2249387520 is an apocalyptic number.

2249387520 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 2249387520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3618424656).

2249387520 is an abundant number, since it is smaller than the sum of its proper divisors (4987461792).

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

2249387520 is a wasteful number, since it uses less digits than its factorization.

2249387520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1892 (or 1876 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The square root of 2249387520 is about 47427.7083570353. The cubic root of 2249387520 is about 1310.2517861890.

The spelling of 2249387520 in words is "two billion, two hundred forty-nine million, three hundred eighty-seven thousand, five hundred twenty".