2178610560 has 768 divisors, whose sum is σ = 9376819200. Its totient is φ = 476098560.

The previous prime is 2178610559. The next prime is 2178610597. The reversal of 2178610560 is 650168712.

2178610560 is a `hidden beast` number, since 2 + 1 + 7 + 86 + 10 + 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 95 ways as a sum of consecutive naturals, for example, 26248279 + ... + 26248361.

It is an arithmetic number, because the mean of its divisors is an integer number (12209400).

Almost surely, 2^2178610560 is an apocalyptic number.

2178610560 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 2178610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4688409600).

2178610560 is an abundant number, since it is smaller than the sum of its proper divisors (7198208640).

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

2178610560 is a wasteful number, since it uses less digits than its factorization.

2178610560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 2178610560 is about 46675.5884804895. The cubic root of 2178610560 is about 1296.3627242601.

The spelling of 2178610560 in words is "two billion, one hundred seventy-eight million, six hundred ten thousand, five hundred sixty".