2214579840 has 512 divisors, whose sum is σ = 8291082240. Its totient is φ = 497418240.

The previous prime is 2214579811. The next prime is 2214579841. The reversal of 2214579840 is 489754122.

It is a junction number, because it is equal to n+sod(n) for n = 2214579792 and 2214579801.

It is not an unprimeable number, because it can be changed into a prime (2214579841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22830672 + ... + 22830768.

It is an arithmetic number, because the mean of its divisors is an integer number (16193520).

Almost surely, 2^2214579840 is an apocalyptic number.

2214579840 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 2214579840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4145541120).

2214579840 is an abundant number, since it is smaller than the sum of its proper divisors (6076502400).

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

2214579840 is a wasteful number, since it uses less digits than its factorization.

2214579840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The square root of 2214579840 is about 47059.3225620599. The cubic root of 2214579840 is about 1303.4582164741.

The spelling of 2214579840 in words is "two billion, two hundred fourteen million, five hundred seventy-nine thousand, eight hundred forty".