2141205552288 has 480 divisors, whose sum is σ = 7100809132032. Its totient is φ = 627078412800.

The previous prime is 2141205552287. The next prime is 2141205552289. The reversal of 2141205552288 is 8822555021412.

2141205552288 is a `hidden beast` number, since 2 + 1 + 4 + 12 + 0 + 5 + 552 + 2 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (2141205552287) and next prime (2141205552289).

It is a super-2 number, since 2×2141205552288² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2141205552287) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1027942095 + ... + 1027944177.

Almost surely, 2^{2141205552288} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2141205552288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3550404566016).

2141205552288 is an abundant number, since it is smaller than the sum of its proper divisors (4959603579744).

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

2141205552288 is a wasteful number, since it uses less digits than its factorization.

2141205552288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3310 (or 3293 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 2141205552288 in words is "two trillion, one hundred forty-one billion, two hundred five million, five hundred fifty-two thousand, two hundred eighty-eight".