2052625007160 has 1536 divisors, whose sum is σ = 8927679720960. Its totient is φ = 396758089728.

The previous prime is 2052625007101. The next prime is 2052625007161. The reversal of 2052625007160 is 617005262502.

2052625007160 is a `hidden beast` number, since 2 + 0 + 5 + 26 + 2 + 500 + 71 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2052625007161) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5814801544 + ... + 5814801896.

It is an arithmetic number, because the mean of its divisors is an integer number (5812291485).

Almost surely, 2^{2052625007160} is an apocalyptic number.

2052625007160 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 2052625007160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463839860480).

2052625007160 is an abundant number, since it is smaller than the sum of its proper divisors (6875054713800).

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

2052625007160 is a wasteful number, since it uses less digits than its factorization.

2052625007160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 657 (or 650 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 2052625007160 in words is "two trillion, fifty-two billion, six hundred twenty-five million, seven thousand, one hundred sixty".