2211271985340 has 240 divisors, whose sum is σ = 7574355502560. Its totient is φ = 535577771520.

The previous prime is 2211271985327. The next prime is 2211271985353. The reversal of 2211271985340 is 435891721122.

2211271985340 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 27 + 1 + 98 + 534 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2211271985327) and next prime (2211271985353).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19706434 + ... + 19818326.

It is an arithmetic number, because the mean of its divisors is an integer number (31559814594).

Almost surely, 2^{2211271985340} is an apocalyptic number.

2211271985340 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 2211271985340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3787177751280).

2211271985340 is an abundant number, since it is smaller than the sum of its proper divisors (5363083517220).

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

2211271985340 is a wasteful number, since it uses less digits than its factorization.

2211271985340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113034 (or 113023 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 2211271985340 in words is "two trillion, two hundred eleven billion, two hundred seventy-one million, nine hundred eighty-five thousand, three hundred forty".