2246421812544 has 1008 divisors, whose sum is σ = 8675676067968. Its totient is φ = 561152987136.

The previous prime is 2246421812497. The next prime is 2246421812549. The reversal of 2246421812544 is 4452181246422.

2246421812544 is a `hidden beast` number, since 2 + 2 + 4 + 6 + 4 + 21 + 81 + 2 + 544 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a self number, because there is not a number n which added to its sum of digits gives 2246421812544.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2246421812549) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 510896554 + ... + 510900950.

It is an arithmetic number, because the mean of its divisors is an integer number (8606821496).

Almost surely, 2^{2246421812544} is an apocalyptic number.

2246421812544 is a gapful number since it is divisible by the number (24) 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 2246421812544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337838033984).

2246421812544 is an abundant number, since it is smaller than the sum of its proper divisors (6429254255424).

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

2246421812544 is a wasteful number, since it uses less digits than its factorization.

2246421812544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4482 (or 4441 counting only the distinct ones).

The product of its digits is 983040, while the sum is 45.

The spelling of 2246421812544 in words is "two trillion, two hundred forty-six billion, four hundred twenty-one million, eight hundred twelve thousand, five hundred forty-four".