2141820071424 has 240 divisors, whose sum is σ = 6993146160000. Its totient is φ = 649035970560.

The previous prime is 2141820071407. The next prime is 2141820071441. The reversal of 2141820071424 is 4241700281412.

It is a happy number.

2141820071424 is a `hidden beast` number, since 2 + 1 + 418 + 200 + 7 + 14 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (2141820071407) and next prime (2141820071441).

It is a super-2 number, since 2×2141820071424² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 586077 + ... + 2151075.

It is an arithmetic number, because the mean of its divisors is an integer number (29138109000).

Almost surely, 2^{2141820071424} is an apocalyptic number.

2141820071424 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 2141820071424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3496573080000).

2141820071424 is an abundant number, since it is smaller than the sum of its proper divisors (4851326088576).

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

2141820071424 is an equidigital number, since it uses as much as digits as its factorization.

2141820071424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1565043 (or 1565015 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 2141820071424 in words is "two trillion, one hundred forty-one billion, eight hundred twenty million, seventy-one thousand, four hundred twenty-four".