2178540 has 216 divisors, whose sum is σ = 8714160. Its totient is φ = 435456.

The previous prime is 2178511. The next prime is 2178541. The reversal of 2178540 is 458712.

2178540 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

2178540 is an admirable number.

2178540 is strictly pandigital in base 8.

It is not an unprimeable number, because it can be changed into a prime (2178541) 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, 114651 + ... + 114669.

2^2178540 is an apocalyptic number.

2178540 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 2178540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4357080).

2178540 is an abundant number, since it is smaller than the sum of its proper divisors (6535620).

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

2178540 is a wasteful number, since it uses less digits than its factorization.

2178540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 2178540 is about 1475.9878048277. The cubic root of 2178540 is about 129.6348728743.

The spelling of 2178540 in words is "two million, one hundred seventy-eight thousand, five hundred forty".