2152061520336 has 360 divisors, whose sum is σ = 7560012456360. Its totient is φ = 566449293312.

The previous prime is 2152061520317. The next prime is 2152061520337. The reversal of 2152061520336 is 6330251602512.

2152061520336 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 0 + 615 + 2 + 0 + 3 + 36 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 270445761936 + 1881615758400 = 520044^2 + 1371720^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 2152061520336.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152061520337) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 46666506 + ... + 46712598.

It is an arithmetic number, because the mean of its divisors is an integer number (21000034601).

Almost surely, 2^{2152061520336} is an apocalyptic number.

2152061520336 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 2152061520336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780006228180).

2152061520336 is an abundant number, since it is smaller than the sum of its proper divisors (5407950936024).

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

2152061520336 is a wasteful number, since it uses less digits than its factorization.

2152061520336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46643 (or 46627 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 2152061520336 in words is "two trillion, one hundred fifty-two billion, sixty-one million, five hundred twenty thousand, three hundred thirty-six".