2226704762880 has 1152 divisors, whose sum is σ = 9130935340800. Its totient is φ = 496570466304.

The previous prime is 2226704762851. The next prime is 2226704762941. The reversal of 2226704762880 is 882674076222.

2226704762880 is a `hidden beast` number, since 2 + 2 + 2 + 6 + 7 + 0 + 4 + 7 + 628 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 523558834 + ... + 523563086.

It is an arithmetic number, because the mean of its divisors is an integer number (7926159150).

Almost surely, 2^{2226704762880} is an apocalyptic number.

2226704762880 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 2226704762880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4565467670400).

2226704762880 is an abundant number, since it is smaller than the sum of its proper divisors (6904230577920).

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

2226704762880 is a wasteful number, since it uses less digits than its factorization.

2226704762880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4318 counting only the distinct ones).

The product of its (nonzero) digits is 7225344, while the sum is 54.

The spelling of 2226704762880 in words is "two trillion, two hundred twenty-six billion, seven hundred four million, seven hundred sixty-two thousand, eight hundred eighty".