2226329487360 has 1536 divisors, whose sum is σ = 9234388800000. Its totient is φ = 504559042560.

The previous prime is 2226329487331. The next prime is 2226329487427. The reversal of 2226329487360 is 637849236222.

2226329487360 is a `hidden beast` number, since 2 + 22 + 63 + 29 + 487 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2226329487297 and 2226329487306.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 14941808566 + ... + 14941808714.

It is an arithmetic number, because the mean of its divisors is an integer number (6011971875).

Almost surely, 2^{2226329487360} is an apocalyptic number.

2226329487360 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 2226329487360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4617194400000).

2226329487360 is an abundant number, since it is smaller than the sum of its proper divisors (7008059312640).

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

2226329487360 is a wasteful number, since it uses less digits than its factorization.

2226329487360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 2226329487360 in words is "two trillion, two hundred twenty-six billion, three hundred twenty-nine million, four hundred eighty-seven thousand, three hundred sixty".