2052120000 has 420 divisors, whose sum is σ = 7915122600. Its totient is φ = 467712000.

The previous prime is 2052119983. The next prime is 2052120013. The reversal of 2052120000 is 212502.

It is a tau number, because it is divible by the number of its divisors (420).

It is a super-2 number, since 2×2052120000² = 8422392988800000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 5879826 + ... + 5880174.

It is an arithmetic number, because the mean of its divisors is an integer number (18845530).

Almost surely, 2^2052120000 is an apocalyptic number.

2052120000 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 2052120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3957561300).

2052120000 is an abundant number, since it is smaller than the sum of its proper divisors (5863002600).

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

2052120000 is an equidigital number, since it uses as much as digits as its factorization.

2052120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 2052120000 is about 45300.3311246176. The cubic root of 2052120000 is about 1270.7718456918.

Adding to 2052120000 its reverse (212502), we get a palindrome (2052332502).

The spelling of 2052120000 in words is "two billion, fifty-two million, one hundred twenty thousand".