1662400224 has 72 divisors (see below), whose sum is σ = 4773433392. Its totient is φ = 548743680.

The previous prime is 1662400213. The next prime is 1662400247. The reversal of 1662400224 is 4220042661.

1662400224 is a `hidden beast` number, since 16 + 624 + 0 + 0 + 2 + 24 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1644 + ... + 57684.

It is an arithmetic number, because the mean of its divisors is an integer number (66297686).

Almost surely, 2^1662400224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1662400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386716696).

1662400224 is an abundant number, since it is smaller than the sum of its proper divisors (3111033168).

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

1662400224 is a wasteful number, since it uses less digits than its factorization.

1662400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56160 (or 56149 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 1662400224 is about 40772.5425255772. The cubic root of 1662400224 is about 1184.6185515837.

Adding to 1662400224 its reverse (4220042661), we get a palindrome (5882442885).

The spelling of 1662400224 in words is "one billion, six hundred sixty-two million, four hundred thousand, two hundred twenty-four".