2281789440 has 576 divisors, whose sum is σ = 9444314880. Its totient is φ = 517570560.

The previous prime is 2281789429. The next prime is 2281789457. The reversal of 2281789440 is 449871822.

It is a tau number, because it is divible by the number of its divisors (576).

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 47 ways as a sum of consecutive naturals, for example, 17418175 + ... + 17418305.

It is an arithmetic number, because the mean of its divisors is an integer number (16396380).

Almost surely, 2^2281789440 is an apocalyptic number.

2281789440 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 2281789440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4722157440).

2281789440 is an abundant number, since it is smaller than the sum of its proper divisors (7162525440).

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

2281789440 is an equidigital number, since it uses as much as digits as its factorization.

2281789440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2281789440 is about 47768.0797185736. The cubic root of 2281789440 is about 1316.5131112562.

The spelling of 2281789440 in words is "two billion, two hundred eighty-one million, seven hundred eighty-nine thousand, four hundred forty".