2272261351680 has 1728 divisors, whose sum is σ = 9028187750400. Its totient is φ = 545001799680.

The previous prime is 2272261351669. The next prime is 2272261351741. The reversal of 2272261351680 is 861531622722.

2272261351680 is a `hidden beast` number, since 2 + 2 + 7 + 22 + 613 + 5 + 1 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14473002162 + ... + 14473002318.

Almost surely, 2^{2272261351680} is an apocalyptic number.

2272261351680 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 2272261351680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4514093875200).

2272261351680 is an abundant number, since it is smaller than the sum of its proper divisors (6755926398720).

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

2272261351680 is a wasteful number, since it uses less digits than its factorization.

2272261351680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 2272261351680 in words is "two trillion, two hundred seventy-two billion, two hundred sixty-one million, three hundred fifty-one thousand, six hundred eighty".