2214823440 has 80 divisors (see below), whose sum is σ = 6895594368. Its totient is φ = 588069888.

The previous prime is 2214823423. The next prime is 2214823453. The reversal of 2214823440 is 443284122.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 2214823398 and 2214823407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36117 + ... + 75723.

Almost surely, 2^2214823440 is an apocalyptic number.

2214823440 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 2214823440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3447797184).

2214823440 is an abundant number, since it is smaller than the sum of its proper divisors (4680770928).

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

2214823440 is a wasteful number, since it uses less digits than its factorization.

2214823440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39856 (or 39850 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

The square root of 2214823440 is about 47061.9107134421. The cubic root of 2214823440 is about 1303.5060074477.

The spelling of 2214823440 in words is "two billion, two hundred fourteen million, eight hundred twenty-three thousand, four hundred forty".