224966766990240 has 768 divisors, whose sum is σ = 915595773120000. Its totient is φ = 50984796487680.

The previous prime is 224966766990181. The next prime is 224966766990283. The reversal of 224966766990240 is 42099667669422.

224966766990240 is a `hidden beast` number, since 2 + 2 + 496 + 6 + 7 + 6 + 6 + 9 + 90 + 2 + 40 = 666.

It is a super-2 number, since 2×224966766990240² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119433666 + ... + 121302654.

It is an arithmetic number, because the mean of its divisors is an integer number (1192181996250).

Almost surely, 2^{224966766990240} is an apocalyptic number.

224966766990240 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 224966766990240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (457797886560000).

224966766990240 is an abundant number, since it is smaller than the sum of its proper divisors (690629006129760).

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

224966766990240 is a wasteful number, since it uses less digits than its factorization.

224966766990240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1869190 (or 1869176 counting only the distinct ones).

The product of its (nonzero) digits is 846526464, while the sum is 72.

The spelling of 224966766990240 in words is "two hundred twenty-four trillion, nine hundred sixty-six billion, seven hundred sixty-six million, nine hundred ninety thousand, two hundred forty".