2052645162516 has 288 divisors, whose sum is σ = 5904016272000. Its totient is φ = 616112759808.

The previous prime is 2052645162467. The next prime is 2052645162539. The reversal of 2052645162516 is 6152615462502.

2052645162516 is a `hidden beast` number, since 2 + 0 + 5 + 2 + 6 + 4 + 5 + 1 + 625 + 16 = 666.

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, 1011652590 + ... + 1011654618.

It is an arithmetic number, because the mean of its divisors is an integer number (20500056500).

Almost surely, 2^{2052645162516} is an apocalyptic number.

2052645162516 is a gapful number since it is divisible by the number (26) 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 2052645162516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2952008136000).

2052645162516 is an abundant number, since it is smaller than the sum of its proper divisors (3851371109484).

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

2052645162516 is a wasteful number, since it uses less digits than its factorization.

2052645162516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3400 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2052645162516 in words is "two trillion, fifty-two billion, six hundred forty-five million, one hundred sixty-two thousand, five hundred sixteen".