2052739584000 has 1248 divisors, whose sum is σ = 8773981122816. Its totient is φ = 468998553600.

The previous prime is 2052739583977. The next prime is 2052739584019. The reversal of 2052739584000 is 4859372502.

2052739584000 is a `hidden beast` number, since 2 + 0 + 527 + 39 + 58 + 40 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 870910822 + ... + 870913178.

It is an arithmetic number, because the mean of its divisors is an integer number (7030433592).

Almost surely, 2^{2052739584000} is an apocalyptic number.

2052739584000 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 2052739584000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4386990561408).

2052739584000 is an abundant number, since it is smaller than the sum of its proper divisors (6721241538816).

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

2052739584000 is an frugal number, since it uses more digits than its factorization.

2052739584000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2418 (or 2374 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 2052739584000 in words is "two trillion, fifty-two billion, seven hundred thirty-nine million, five hundred eighty-four thousand".