2011446101640 has 256 divisors, whose sum is σ = 6467633568000. Its totient is φ = 498672599040.

The previous prime is 2011446101633. The next prime is 2011446101647. The reversal of 2011446101640 is 461016441102.

It is an interprime number because it is at equal distance from previous prime (2011446101633) and next prime (2011446101647).

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 = 2011446101598 and 2011446101607.

It is not an unprimeable number, because it can be changed into a prime (2011446101647) by changing a digit.

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, 73587496 + ... + 73614824.

It is an arithmetic number, because the mean of its divisors is an integer number (25264193625).

Almost surely, 2^{2011446101640} is an apocalyptic number.

2011446101640 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 2011446101640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3233816784000).

2011446101640 is an abundant number, since it is smaller than the sum of its proper divisors (4456187466360).

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

2011446101640 is a wasteful number, since it uses less digits than its factorization.

2011446101640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27800 (or 27796 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 2011446101640 in words is "two trillion, eleven billion, four hundred forty-six million, one hundred one thousand, six hundred forty".