2291437440 has 192 divisors, whose sum is σ = 8009623440. Its totient is φ = 603561984.

The previous prime is 2291437409. The next prime is 2291437481. The reversal of 2291437440 is 447341922.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2291437395 and 2291437404.

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 23 ways as a sum of consecutive naturals, for example, 475684 + ... + 480476.

Almost surely, 2^2291437440 is an apocalyptic number.

2291437440 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 2291437440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4004811720).

2291437440 is an abundant number, since it is smaller than the sum of its proper divisors (5718186000).

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

2291437440 is a wasteful number, since it uses less digits than its factorization.

2291437440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4901 (or 4886 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2291437440 is about 47868.9611334944. The cubic root of 2291437440 is about 1318.3660222729.

The spelling of 2291437440 in words is "two billion, two hundred ninety-one million, four hundred thirty-seven thousand, four hundred forty".