2231778240 has 168 divisors, whose sum is σ = 7763530320. Its totient is φ = 588386304.

The previous prime is 2231778229. The next prime is 2231778253. The reversal of 2231778240 is 428771322.

It is a super-3 number, since 3×2231778240³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 2231778195 and 2231778204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251967 + ... + 260673.

It is an arithmetic number, because the mean of its divisors is an integer number (46211490).

Almost surely, 2^2231778240 is an apocalyptic number.

2231778240 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 2231778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3881765160).

2231778240 is an abundant number, since it is smaller than the sum of its proper divisors (5531752080).

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

2231778240 is a wasteful number, since it uses less digits than its factorization.

2231778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8819 (or 8806 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 2231778240 is about 47241.7002234255. The cubic root of 2231778240 is about 1306.8237327969.

The spelling of 2231778240 in words is "two billion, two hundred thirty-one million, seven hundred seventy-eight thousand, two hundred forty".