2052137920 has 112 divisors (see below), whose sum is σ = 5596493760. Its totient is φ = 702111744.

The previous prime is 2052137909. The next prime is 2052137953. The reversal of 2052137920 is 297312502.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×2052137920² = 8422540085403852800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1919146 + ... + 1920214.

Almost surely, 2^2052137920 is an apocalyptic number.

2052137920 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 2052137920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798246880).

2052137920 is an abundant number, since it is smaller than the sum of its proper divisors (3544355840).

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

2052137920 is a wasteful number, since it uses less digits than its factorization.

2052137920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1950 (or 1940 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 2052137920 is about 45300.5289152345. The cubic root of 2052137920 is about 1270.7755446576.

The spelling of 2052137920 in words is "two billion, fifty-two million, one hundred thirty-seven thousand, nine hundred twenty".