2011141020 has 96 divisors (see below), whose sum is σ = 6592674816. Its totient is φ = 448473600.

The previous prime is 2011140977. The next prime is 2011141037. The reversal of 2011141020 is 201411102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011140987 and 2011141005.

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, 41176 + ... + 75615.

It is an arithmetic number, because the mean of its divisors is an integer number (68673696).

Almost surely, 2^2011141020 is an apocalyptic number.

2011141020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011141020 is an abundant number, since it is smaller than the sum of its proper divisors (4581533796).

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

2011141020 is a wasteful number, since it uses less digits than its factorization.

2011141020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116851 (or 116849 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2011141020 is about 44845.7469555364. The cubic root of 2011141020 is about 1262.2561868820.

Adding to 2011141020 its reverse (201411102), we get a palindrome (2212552122).

The spelling of 2011141020 in words is "two billion, eleven million, one hundred forty-one thousand, twenty".