2152140412512 has 48 divisors (see below), whose sum is σ = 5656792386672. Its totient is φ = 716437432320.

The previous prime is 2152140412507. The next prime is 2152140412517.

2152140412512 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2152140412507) and next prime (2152140412517).

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2152140412512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2152140412517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14656333 + ... + 14802444.

It is an arithmetic number, because the mean of its divisors is an integer number (117849841389).

Almost surely, 2^{2152140412512} is an apocalyptic number.

It is an amenable number.

2152140412512 is an abundant number, since it is smaller than the sum of its proper divisors (3504651974160).

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

2152140412512 is a wasteful number, since it uses less digits than its factorization.

2152140412512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29459551 (or 29459543 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

It can be divided in two parts, 2152140 and 412512, that added together give a palindrome (2564652).

The spelling of 2152140412512 in words is "two trillion, one hundred fifty-two billion, one hundred forty million, four hundred twelve thousand, five hundred twelve".