2214656640 has 640 divisors, whose sum is σ = 9597139200. Its totient is φ = 475103232.

The previous prime is 2214656621. The next prime is 2214656669. The reversal of 2214656640 is 466564122.

2214656640 is a `hidden beast` number, since 2 + 2 + 1 + 4 + 6 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2214656595 and 2214656604.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6168781 + ... + 6169139.

It is an arithmetic number, because the mean of its divisors is an integer number (14995530).

Almost surely, 2^2214656640 is an apocalyptic number.

2214656640 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 2214656640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4798569600).

2214656640 is an abundant number, since it is smaller than the sum of its proper divisors (7382482560).

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

2214656640 is a wasteful number, since it uses less digits than its factorization.

2214656640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 2214656640 is about 47060.1385463324. The cubic root of 2214656640 is about 1303.4732839573.

The spelling of 2214656640 in words is "two billion, two hundred fourteen million, six hundred fifty-six thousand, six hundred forty".