2011024820 has 48 divisors (see below), whose sum is σ = 4905602688. Its totient is φ = 678188160.

The previous prime is 2011024819. The next prime is 2011024823. The reversal of 2011024820 is 284201102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 2011024792 and 2011024801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011024823) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109202 + ... + 126281.

It is an arithmetic number, because the mean of its divisors is an integer number (102200056).

Almost surely, 2^2011024820 is an apocalyptic number.

2011024820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011024820 is an abundant number, since it is smaller than the sum of its proper divisors (2894577868).

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

2011024820 is a wasteful number, since it uses less digits than its factorization.

2011024820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 235560 (or 235558 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

The square root of 2011024820 is about 44844.4513847589. The cubic root of 2011024820 is about 1262.2318761396.

Adding to 2011024820 its reverse (284201102), we get a palindrome (2295225922).

The spelling of 2011024820 in words is "two billion, eleven million, twenty-four thousand, eight hundred twenty".