2231285760 has 576 divisors, whose sum is σ = 8831047680. Its totient is φ = 516096000.

The previous prime is 2231285747. The next prime is 2231285773. The reversal of 2231285760 is 675821322.

It is an interprime number because it is at equal distance from previous prime (2231285747) and next prime (2231285773).

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

It is a super-3 number, since 3×2231285760³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 47 ways as a sum of consecutive naturals, for example, 31426525 + ... + 31426595.

It is an arithmetic number, because the mean of its divisors is an integer number (15331680).

Almost surely, 2^2231285760 is an apocalyptic number.

2231285760 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 2231285760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4415523840).

2231285760 is an abundant number, since it is smaller than the sum of its proper divisors (6599761920).

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

2231285760 is a wasteful number, since it uses less digits than its factorization.

2231285760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 2231285760 is about 47236.4875916912. The cubic root of 2231285760 is about 1306.7276013973.

The spelling of 2231285760 in words is "two billion, two hundred thirty-one million, two hundred eighty-five thousand, seven hundred sixty".