2052162000 has 640 divisors, whose sum is σ = 8635161600. Its totient is φ = 456192000.

The previous prime is 2052161957. The next prime is 2052162001. The reversal of 2052162000 is 2612502.

2052162000 is a `hidden beast` number, since 20 + 5 + 21 + 620 + 0 + 0 = 666.

It is a super-2 number, since 2×2052162000² = 8422737748488000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052162001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23057956 + ... + 23058044.

It is an arithmetic number, because the mean of its divisors is an integer number (13492440).

Almost surely, 2^2052162000 is an apocalyptic number.

2052162000 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 2052162000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4317580800).

2052162000 is an abundant number, since it is smaller than the sum of its proper divisors (6582999600).

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

2052162000 is a wasteful number, since it uses less digits than its factorization.

2052162000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 2052162000 is about 45300.7946950161. The cubic root of 2052162000 is about 1270.7805151090.

Adding to 2052162000 its reverse (2612502), we get a palindrome (2054774502).

The spelling of 2052162000 in words is "two billion, fifty-two million, one hundred sixty-two thousand".