2141516728120 has 128 divisors (see below), whose sum is σ = 6153893222400. Its totient is φ = 651205555200.

The previous prime is 2141516727991. The next prime is 2141516728189. The reversal of 2141516728120 is 218276151412.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8352960 + ... + 8605519.

It is an arithmetic number, because the mean of its divisors is an integer number (48077290800).

Almost surely, 2^{2141516728120} is an apocalyptic number.

2141516728120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2141516728120 is an abundant number, since it is smaller than the sum of its proper divisors (4012376494280).

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

2141516728120 is a wasteful number, since it uses less digits than its factorization.

2141516728120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16958549 (or 16958545 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 40.

It can be divided in two parts, 2141516 and 728120, that added together give a square (2869636 = 1694²).

The spelling of 2141516728120 in words is "two trillion, one hundred forty-one billion, five hundred sixteen million, seven hundred twenty-eight thousand, one hundred twenty".