2052114020 has 72 divisors (see below), whose sum is σ = 4747273272. Its totient is φ = 744578560.

The previous prime is 2052114007. The next prime is 2052114079. The reversal of 2052114020 is 204112502.

It can be written as a sum of positive squares in 4 ways, for example, as 6180196 + 2045933824 = 2486^2 + 45232^2 .

It is a super-2 number, since 2×2052114020² = 8422343902161120800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2052114020.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1870112 + ... + 1871208.

It is an arithmetic number, because the mean of its divisors is an integer number (65934351).

Almost surely, 2^2052114020 is an apocalyptic number.

2052114020 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 2052114020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373636636).

2052114020 is an abundant number, since it is smaller than the sum of its proper divisors (2695159252).

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

2052114020 is a wasteful number, since it uses less digits than its factorization.

2052114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1901 (or 1888 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 2052114020 is about 45300.2651206370. The cubic root of 2052114020 is about 1270.7706113223.

Adding to 2052114020 its reverse (204112502), we get a palindrome (2256226522).

The spelling of 2052114020 in words is "two billion, fifty-two million, one hundred fourteen thousand, twenty".