2226074760 has 288 divisors, whose sum is σ = 8954936640. Its totient is φ = 469587456.

The previous prime is 2226074743. The next prime is 2226074761. The reversal of 2226074760 is 674706222.

2226074760 is a `hidden beast` number, since 2 + 2 + 2 + 607 + 47 + 6 + 0 = 666.

It is a super-3 number, since 3×2226074760³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2226074761) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 423267 + ... + 428493.

It is an arithmetic number, because the mean of its divisors is an integer number (31093530).

Almost surely, 2^2226074760 is an apocalyptic number.

2226074760 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 2226074760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4477468320).

2226074760 is an abundant number, since it is smaller than the sum of its proper divisors (6728861880).

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

2226074760 is a wasteful number, since it uses less digits than its factorization.

2226074760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5277 (or 5257 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2226074760 is about 47181.2967180852. The cubic root of 2226074760 is about 1305.7095537981.

It can be divided in two parts, 22260 and 74760, that added together give a triangular number (97020 = T₄₄₀).

The spelling of 2226074760 in words is "two billion, two hundred twenty-six million, seventy-four thousand, seven hundred sixty".