2230761461760 has 1344 divisors, whose sum is σ = 8758600381440. Its totient is φ = 541776936960.

The previous prime is 2230761461723. The next prime is 2230761461807. The reversal of 2230761461760 is 671641670322.

2230761461760 is a `hidden beast` number, since 2 + 23 + 0 + 7 + 6 + 1 + 4 + 617 + 6 + 0 = 666.

It is a super-3 number, since 3×2230761461760³ (a number of 38 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 (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12324648870 + ... + 12324649050.

It is an arithmetic number, because the mean of its divisors is an integer number (6516815760).

Almost surely, 2^{2230761461760} is an apocalyptic number.

2230761461760 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 2230761461760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4379300190720).

2230761461760 is an abundant number, since it is smaller than the sum of its proper divisors (6527838919680).

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

2230761461760 is a wasteful number, since it uses less digits than its factorization.

2230761461760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 331 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 2230761461760 in words is "two trillion, two hundred thirty billion, seven hundred sixty-one million, four hundred sixty-one thousand, seven hundred sixty".