2052819840 has 128 divisors (see below), whose sum is σ = 6556723200. Its totient is φ = 546301952.

The previous prime is 2052819809. The next prime is 2052819841. The reversal of 2052819840 is 489182502.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052819841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425841 + ... + 1427279.

It is an arithmetic number, because the mean of its divisors is an integer number (51224400).

Almost surely, 2^2052819840 is an apocalyptic number.

2052819840 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 2052819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3278361600).

2052819840 is an abundant number, since it is smaller than the sum of its proper divisors (4503903360).

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

2052819840 is a wasteful number, since it uses less digits than its factorization.

2052819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2204 (or 2192 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 39.

The square root of 2052819840 is about 45308.0549130064. The cubic root of 2052819840 is about 1270.9162875194.

The spelling of 2052819840 in words is "two billion, fifty-two million, eight hundred nineteen thousand, eight hundred forty".