211021264740 has 192 divisors, whose sum is σ = 696670490880. Its totient is φ = 47050536960.

The previous prime is 211021264723. The next prime is 211021264757. The reversal of 211021264740 is 47462120112.

211021264740 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (211021264723) and next prime (211021264757).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 211021264698 and 211021264707.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2332266 + ... + 2421054.

It is an arithmetic number, because the mean of its divisors is an integer number (3628492140).

Almost surely, 2^211021264740 is an apocalyptic number.

211021264740 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 211021264740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348335245440).

211021264740 is an abundant number, since it is smaller than the sum of its proper divisors (485649226140).

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

211021264740 is a wasteful number, since it uses less digits than its factorization.

211021264740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89102 (or 89100 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

Adding to 211021264740 its reverse (47462120112), we get a palindrome (258483384852).

The spelling of 211021264740 in words is "two hundred eleven billion, twenty-one million, two hundred sixty-four thousand, seven hundred forty".