2224809011520 has 672 divisors, whose sum is σ = 8035062497280. Its totient is φ = 585917245440.

The previous prime is 2224809011449. The next prime is 2224809011521. The reversal of 2224809011520 is 251109084222.

2224809011520 is a `hidden beast` number, since 2 + 2 + 2 + 48 + 0 + 90 + 1 + 1 + 520 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2224809011521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2420901621 + ... + 2420902539.

It is an arithmetic number, because the mean of its divisors is an integer number (11956938240).

Almost surely, 2^{2224809011520} is an apocalyptic number.

2224809011520 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 2224809011520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4017531248640).

2224809011520 is an abundant number, since it is smaller than the sum of its proper divisors (5810253485760).

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

2224809011520 is a wasteful number, since it uses less digits than its factorization.

2224809011520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1305 (or 1283 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 2224809011520 in words is "two trillion, two hundred twenty-four billion, eight hundred nine million, eleven thousand, five hundred twenty".