2011167840 has 192 divisors, whose sum is σ = 7212022272. Its totient is φ = 466329600.

The previous prime is 2011167773. The next prime is 2011167889. The reversal of 2011167840 is 487611102.

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 = 2011167798 and 2011167807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113160 + ... + 129720.

It is an arithmetic number, because the mean of its divisors is an integer number (37562616).

Almost surely, 2^2011167840 is an apocalyptic number.

2011167840 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 2011167840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3606011136).

2011167840 is an abundant number, since it is smaller than the sum of its proper divisors (5200854432).

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

2011167840 is a wasteful number, since it uses less digits than its factorization.

2011167840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16613 (or 16605 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 2011167840 is about 44846.0459795510. The cubic root of 2011167840 is about 1262.2617978859.

Adding to 2011167840 its reverse (487611102), we get a palindrome (2498778942).

The spelling of 2011167840 in words is "two billion, eleven million, one hundred sixty-seven thousand, eight hundred forty".