2141504051412 has 768 divisors, whose sum is σ = 6347898224640. Its totient is φ = 554273280000.

The previous prime is 2141504051411. The next prime is 2141504051417.

2141504051412 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2141504051412.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2141504051411) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 7902228837 + ... + 7902229107.

It is an arithmetic number, because the mean of its divisors is an integer number (8265492480).

Almost surely, 2^{2141504051412} is an apocalyptic number.

2141504051412 is a gapful number since it is divisible by the number (22) 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 2141504051412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3173949112320).

2141504051412 is an abundant number, since it is smaller than the sum of its proper divisors (4206394173228).

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

2141504051412 is a wasteful number, since it uses less digits than its factorization.

2141504051412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 482 counting only the distinct ones).

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

The spelling of 2141504051412 in words is "two trillion, one hundred forty-one billion, five hundred four million, fifty-one thousand, four hundred twelve".