2226631680 has 880 divisors, whose sum is σ = 9986739840. Its totient is φ = 461832192.

The previous prime is 2226631643. The next prime is 2226631681. The reversal of 2226631680 is 861366222.

2226631680 is a `hidden beast` number, since 2 + 2 + 266 + 316 + 80 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226631681) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37739491 + ... + 37739549.

It is an arithmetic number, because the mean of its divisors is an integer number (11348568).

Almost surely, 2^2226631680 is an apocalyptic number.

2226631680 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 2226631680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4993369920).

2226631680 is an abundant number, since it is smaller than the sum of its proper divisors (7760108160).

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

2226631680 is a wasteful number, since it uses less digits than its factorization.

2226631680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 2226631680 is about 47187.1982639360. The cubic root of 2226631680 is about 1305.8184323115.

The spelling of 2226631680 in words is "two billion, two hundred twenty-six million, six hundred thirty-one thousand, six hundred eighty".