2052589629888 has 448 divisors, whose sum is σ = 7686256204800. Its totient is φ = 522905518080.

The previous prime is 2052589629863. The next prime is 2052589629919. The reversal of 2052589629888 is 8889269852502.

2052589629888 is a `hidden beast` number, since 2 + 0 + 5 + 258 + 9 + 6 + 298 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3644328 + ... + 4169688.

Almost surely, 2^{2052589629888} is an apocalyptic number.

2052589629888 is a gapful number since it is divisible by the number (28) 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 2052589629888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3843128102400).

2052589629888 is an abundant number, since it is smaller than the sum of its proper divisors (5633666574912).

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

2052589629888 is a wasteful number, since it uses less digits than its factorization.

2052589629888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525425 (or 525409 counting only the distinct ones).

The product of its (nonzero) digits is 398131200, while the sum is 72.

The spelling of 2052589629888 in words is "two trillion, fifty-two billion, five hundred eighty-nine million, six hundred twenty-nine thousand, eight hundred eighty-eight".