2422400044416 has 128 divisors (see below), whose sum is σ = 7039344147840. Its totient is φ = 731980677120.

The previous prime is 2422400044409. The next prime is 2422400044417. The reversal of 2422400044416 is 6144400042242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-3 number, since 3×2422400044416³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2422400044417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678771 + ... + 2303373.

It is an arithmetic number, because the mean of its divisors is an integer number (54994876155).

Almost surely, 2^{2422400044416} 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 2422400044416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3519672073920).

2422400044416 is an abundant number, since it is smaller than the sum of its proper divisors (4616944103424).

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

2422400044416 is a wasteful number, since it uses less digits than its factorization.

2422400044416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1624984 (or 1624972 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 2422400044416 its reverse (6144400042242), we get a palindrome (8566800086658).

The spelling of 2422400044416 in words is "two trillion, four hundred twenty-two billion, four hundred million, forty-four thousand, four hundred sixteen".