2152694841024 has 336 divisors, whose sum is σ = 7177526412000. Its totient is φ = 567738243072.

The previous prime is 2152694840993. The next prime is 2152694841053. The reversal of 2152694841024 is 4201484962512.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20617302 + ... + 20721450.

It is an arithmetic number, because the mean of its divisors is an integer number (21361685750).

Almost surely, 2^{2152694841024} is an apocalyptic number.

2152694841024 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 2152694841024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3588763206000).

2152694841024 is an abundant number, since it is smaller than the sum of its proper divisors (5024831570976).

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

2152694841024 is a wasteful number, since it uses less digits than its factorization.

2152694841024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104217 (or 104174 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 48.

The spelling of 2152694841024 in words is "two trillion, one hundred fifty-two billion, six hundred ninety-four million, eight hundred forty-one thousand, twenty-four".