2227530516480 has 768 divisors, whose sum is σ = 8224384896000. Its totient is φ = 571206795264.

The previous prime is 2227530516469. The next prime is 2227530516511. The reversal of 2227530516480 is 846150357222.

2227530516480 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 53 + 0 + 516 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2942576262 + ... + 2942577018.

It is an arithmetic number, because the mean of its divisors is an integer number (10708834500).

Almost surely, 2^{2227530516480} is an apocalyptic number.

2227530516480 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 2227530516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112192448000).

2227530516480 is an abundant number, since it is smaller than the sum of its proper divisors (5996854379520).

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

2227530516480 is a wasteful number, since it uses less digits than its factorization.

2227530516480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1189 (or 1163 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 2227530516480 in words is "two trillion, two hundred twenty-seven billion, five hundred thirty million, five hundred sixteen thousand, four hundred eighty".