2011514820 has 192 divisors, whose sum is σ = 6696345600. Its totient is φ = 441423360.

The previous prime is 2011514809. The next prime is 2011514821. The reversal of 2011514820 is 284151102.

It is not an unprimeable number, because it can be changed into a prime (2011514821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2910675 + ... + 2911365.

It is an arithmetic number, because the mean of its divisors is an integer number (34876800).

Almost surely, 2^2011514820 is an apocalyptic number.

2011514820 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 2011514820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3348172800).

2011514820 is an abundant number, since it is smaller than the sum of its proper divisors (4684830780).

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

2011514820 is a wasteful number, since it uses less digits than its factorization.

2011514820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 2011514820 is about 44849.9143811892. The cubic root of 2011514820 is about 1262.3343849677.

Adding to 2011514820 its reverse (284151102), we get a palindrome (2295665922).

The spelling of 2011514820 in words is "two billion, eleven million, five hundred fourteen thousand, eight hundred twenty".