2155174560 has 1152 divisors, whose sum is σ = 10296115200. Its totient is φ = 410572800.

The previous prime is 2155174531. The next prime is 2155174561. The reversal of 2155174560 is 654715512.

2155174560 is a `hidden beast` number, since 2 + 1 + 551 + 7 + 45 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (2155174561) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 69521745 + ... + 69521775.

It is an arithmetic number, because the mean of its divisors is an integer number (8937600).

Almost surely, 2^2155174560 is an apocalyptic number.

2155174560 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 2155174560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148057600).

2155174560 is an abundant number, since it is smaller than the sum of its proper divisors (8140940640).

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

2155174560 is a wasteful number, since it uses less digits than its factorization.

2155174560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 2155174560 is about 46423.8576596129. The cubic root of 2155174560 is about 1291.6974948915.

It can be divided in two parts, 2155 and 174560, that added together give a triangular number (176715 = T₅₉₄).

The spelling of 2155174560 in words is "two billion, one hundred fifty-five million, one hundred seventy-four thousand, five hundred sixty".