2148002214007 has 32 divisors (see below), whose sum is σ = 2429602471296. Its totient is φ = 1884175603200.

The previous prime is 2148002213977. The next prime is 2148002214011. The reversal of 2148002214007 is 7004122008412.

It is not a de Polignac number, because 2148002214007 - 2³¹ = 2145854730359 is a prime.

It is a super-2 number, since 2×2148002214007² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2148002214007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148002214047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54802957 + ... + 54842137.

It is an arithmetic number, because the mean of its divisors is an integer number (75925077228).

Almost surely, 2^{2148002214007} is an apocalyptic number.

2148002214007 is a deficient number, since it is larger than the sum of its proper divisors (281600257289).

2148002214007 is a wasteful number, since it uses less digits than its factorization.

2148002214007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40411.

The product of its (nonzero) digits is 7168, while the sum is 31.

The spelling of 2148002214007 in words is "two trillion, one hundred forty-eight billion, two million, two hundred fourteen thousand, seven".