2662244805948 has 576 divisors, whose sum is σ = 8527036686336. Its totient is φ = 637894656000.

The previous prime is 2662244805947. The next prime is 2662244805971. The reversal of 2662244805948 is 8495084422662.

It is a junction number, because it is equal to n+sod(n) for n = 2662244805891 and 2662244805900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2662244805947) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2582196193 + ... + 2582197223.

It is an arithmetic number, because the mean of its divisors is an integer number (14803883136).

Almost surely, 2^{2662244805948} is an apocalyptic number.

2662244805948 is a gapful number since it is divisible by the number (28) 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 2662244805948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4263518343168).

2662244805948 is an abundant number, since it is smaller than the sum of its proper divisors (5864791880388).

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

2662244805948 is a wasteful number, since it uses less digits than its factorization.

2662244805948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1754 (or 1745 counting only the distinct ones).

The product of its (nonzero) digits is 53084160, while the sum is 60.

The spelling of 2662244805948 in words is "two trillion, six hundred sixty-two billion, two hundred forty-four million, eight hundred five thousand, nine hundred forty-eight".