2101326663744 has 896 divisors, whose sum is σ = 7933562634240. Its totient is φ = 533994024960.

The previous prime is 2101326663739. The next prime is 2101326663749. The reversal of 2101326663744 is 4473666231012.

It is an interprime number because it is at equal distance from previous prime (2101326663739) and next prime (2101326663749).

It is a super-2 number, since 2×2101326663744² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101326663744.

It is not an unprimeable number, because it can be changed into a prime (2101326663749) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 756688084 + ... + 756690860.

Almost surely, 2^{2101326663744} is an apocalyptic number.

2101326663744 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 2101326663744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3966781317120).

2101326663744 is an abundant number, since it is smaller than the sum of its proper divisors (5832235970496).

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

2101326663744 is a wasteful number, since it uses less digits than its factorization.

2101326663744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2885 (or 2847 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 2101326663744 in words is "two trillion, one hundred one billion, three hundred twenty-six million, six hundred sixty-three thousand, seven hundred forty-four".