2238755840 has 176 divisors, whose sum is σ = 5770083600. Its totient is φ = 833355776.

The previous prime is 2238755797. The next prime is 2238755867. The reversal of 2238755840 is 485578322.

It can be written as a sum of positive squares in 8 ways, for example, as 76877824 + 2161878016 = 8768^2 + 46496^2 .

It is a super-2 number, since 2×2238755840² = 10024055422268211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2238755791 and 2238755800.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25154516 + ... + 25154604.

Almost surely, 2^2238755840 is an apocalyptic number.

2238755840 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 2238755840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2885041800).

2238755840 is an abundant number, since it is smaller than the sum of its proper divisors (3531327760).

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

2238755840 is an frugal number, since it uses more digits than its factorization.

2238755840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 44.

The square root of 2238755840 is about 47315.4926002044. The cubic root of 2238755840 is about 1308.1842333865.

The spelling of 2238755840 in words is "two billion, two hundred thirty-eight million, seven hundred fifty-five thousand, eight hundred forty".