2226786624 has 126 divisors (see below), whose sum is σ = 6736922010. Its totient is φ = 703130112.

The previous prime is 2226786623. The next prime is 2226786649. The reversal of 2226786624 is 4266876222.

It can be written as a sum of positive squares in only one way, i.e., 2205993024 + 20793600 = 46968^2 + 4560^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2226786624.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2226786623) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 202582 + ... + 213290.

It is an arithmetic number, because the mean of its divisors is an integer number (53467635).

Almost surely, 2^2226786624 is an apocalyptic number.

2226786624 is a gapful number since it is divisible by the number (24) 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 2226786624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3368461005).

2226786624 is an abundant number, since it is smaller than the sum of its proper divisors (4510135386).

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

2226786624 is a wasteful number, since it uses less digits than its factorization.

2226786624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10765 (or 10733 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The square root of 2226786624 is about 47188.8400366019. The cubic root of 2226786624 is about 1305.8487208170.

The spelling of 2226786624 in words is "two billion, two hundred twenty-six million, seven hundred eighty-six thousand, six hundred twenty-four".