2214672240 has 160 divisors (see below), whose sum is σ = 7731505152. Its totient is φ = 519552000.

The previous prime is 2214672233. The next prime is 2214672269. The reversal of 2214672240 is 422764122.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2214672198 and 2214672207.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68310 + ... + 95370.

Almost surely, 2^2214672240 is an apocalyptic number.

2214672240 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 2214672240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3865752576).

2214672240 is an abundant number, since it is smaller than the sum of its proper divisors (5516832912).

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

2214672240 is a wasteful number, since it uses less digits than its factorization.

2214672240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27119 (or 27113 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 30.

The square root of 2214672240 is about 47060.3042914089. The cubic root of 2214672240 is about 1303.4763444973.

The spelling of 2214672240 in words is "two billion, two hundred fourteen million, six hundred seventy-two thousand, two hundred forty".