2231681760 has 384 divisors, whose sum is σ = 9739699200. Its totient is φ = 463656960.

The previous prime is 2231681741. The next prime is 2231681791. The reversal of 2231681760 is 671861322.

It is a super-3 number, since 3×2231681760³ (a number of 29 digits) contains 333 as substring.

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 polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 329286 + ... + 335994.

It is an arithmetic number, because the mean of its divisors is an integer number (25363800).

Almost surely, 2^2231681760 is an apocalyptic number.

2231681760 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 2231681760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4869849600).

2231681760 is an abundant number, since it is smaller than the sum of its proper divisors (7508017440).

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

2231681760 is a wasteful number, since it uses less digits than its factorization.

2231681760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6751 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2231681760 is about 47240.6790806398. The cubic root of 2231681760 is about 1306.8049011513.

The spelling of 2231681760 in words is "two billion, two hundred thirty-one million, six hundred eighty-one thousand, seven hundred sixty".