2124178560 has 512 divisors, whose sum is σ = 9112435200. Its totient is φ = 456523776.

The previous prime is 2124178541. The next prime is 2124178687. The reversal of 2124178560 is 658714212.

2124178560 is a `hidden beast` number, since 2 + 1 + 24 + 1 + 78 + 560 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2055804 + ... + 2056836.

It is an arithmetic number, because the mean of its divisors is an integer number (17797725).

Almost surely, 2^2124178560 is an apocalyptic number.

2124178560 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 2124178560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4556217600).

2124178560 is an abundant number, since it is smaller than the sum of its proper divisors (6988256640).

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

2124178560 is a wasteful number, since it uses less digits than its factorization.

2124178560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 2124178560 is about 46088.8116574945. The cubic root of 2124178560 is about 1285.4751148769.

The spelling of 2124178560 in words is "two billion, one hundred twenty-four million, one hundred seventy-eight thousand, five hundred sixty".