2227115255040 has 864 divisors, whose sum is σ = 8632200114720. Its totient is φ = 526368374784.

The previous prime is 2227115254961. The next prime is 2227115255077. The reversal of 2227115255040 is 405525117222.

2227115255040 is a `hidden beast` number, since 2 + 2 + 2 + 7 + 11 + 52 + 550 + 40 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 935382991104 + 1291732263936 = 967152^2 + 1136544^2 .

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 = 2227115254986 and 2227115255004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 838205392 + ... + 838208048.

It is an arithmetic number, because the mean of its divisors is an integer number (9990972355).

Almost surely, 2^{2227115255040} is an apocalyptic number.

2227115255040 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 2227115255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4316100057360).

2227115255040 is an abundant number, since it is smaller than the sum of its proper divisors (6405084859680).

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

2227115255040 is a wasteful number, since it uses less digits than its factorization.

2227115255040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2919 (or 2902 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 2227115255040 in words is "two trillion, two hundred twenty-seven billion, one hundred fifteen million, two hundred fifty-five thousand, forty".