2052516286080 has 384 divisors, whose sum is σ = 7636709808000. Its totient is φ = 504975679488.

The previous prime is 2052516286003. The next prime is 2052516286129. The reversal of 2052516286080 is 806826152502.

It is a happy number.

2052516286080 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 5 + 16 + 28 + 608 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 175138461 + ... + 175150179.

It is an arithmetic number, because the mean of its divisors is an integer number (19887265125).

Almost surely, 2^{2052516286080} is an apocalyptic number.

2052516286080 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 2052516286080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3818354904000).

2052516286080 is an abundant number, since it is smaller than the sum of its proper divisors (5584193521920).

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

2052516286080 is a wasteful number, since it uses less digits than its factorization.

2052516286080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14096 (or 14081 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 2052516286080 in words is "two trillion, fifty-two billion, five hundred sixteen million, two hundred eighty-six thousand, eighty".