2022464400224 has 48 divisors (see below), whose sum is σ = 4113283660416. Its totient is φ = 977870361600.

The previous prime is 2022464400191. The next prime is 2022464400233. The reversal of 2022464400224 is 4220044642202.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 538754 + ... + 2082110.

It is an arithmetic number, because the mean of its divisors is an integer number (85693409592).

Almost surely, 2^{2022464400224} 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 2022464400224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056641830208).

2022464400224 is an abundant number, since it is smaller than the sum of its proper divisors (2090819260192).

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

2022464400224 is a wasteful number, since it uses less digits than its factorization.

2022464400224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544719 (or 1544711 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 32.

The spelling of 2022464400224 in words is "two trillion, twenty-two billion, four hundred sixty-four million, four hundred thousand, two hundred twenty-four".