2102328975744 has 384 divisors, whose sum is σ = 6327021093120. Its totient is φ = 669588541440.

The previous prime is 2102328975707. The next prime is 2102328975757. The reversal of 2102328975744 is 4475798232012.

2102328975744 is a `hidden beast` number, since 21 + 0 + 23 + 28 + 9 + 7 + 574 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×2102328975744² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 359800087 + ... + 359805929.

It is an arithmetic number, because the mean of its divisors is an integer number (16476617430).

Almost surely, 2^{2102328975744} is an apocalyptic number.

2102328975744 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 2102328975744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3163510546560).

2102328975744 is an abundant number, since it is smaller than the sum of its proper divisors (4224692117376).

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

2102328975744 is a wasteful number, since it uses less digits than its factorization.

2102328975744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6070 (or 6055 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 2102328975744 in words is "two trillion, one hundred two billion, three hundred twenty-eight million, nine hundred seventy-five thousand, seven hundred forty-four".