2221867031040 has 640 divisors, whose sum is σ = 7988631552000. Its totient is φ = 585312583680.

The previous prime is 2221867031011. The next prime is 2221867031077. The reversal of 2221867031040 is 401307681222.

It is a happy number.

2221867031040 is a `hidden beast` number, since 2 + 221 + 86 + 7 + 0 + 310 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 = 2221867030986 and 2221867031004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2242044945 + ... + 2242045935.

It is an arithmetic number, because the mean of its divisors is an integer number (12482236800).

Almost surely, 2^{2221867031040} is an apocalyptic number.

2221867031040 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 2221867031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3994315776000).

2221867031040 is an abundant number, since it is smaller than the sum of its proper divisors (5766764520960).

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

2221867031040 is a wasteful number, since it uses less digits than its factorization.

2221867031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1363 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 2221867031040 in words is "two trillion, two hundred twenty-one billion, eight hundred sixty-seven million, thirty-one thousand, forty".