2142015345440 has 96 divisors (see below), whose sum is σ = 5327577360000. Its totient is φ = 811600846848.

The previous prime is 2142015345413. The next prime is 2142015345511. The reversal of 2142015345440 is 445435102412.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2142015345440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24394736 + ... + 24482384.

It is an arithmetic number, because the mean of its divisors is an integer number (55495597500).

Almost surely, 2^{2142015345440} is an apocalyptic number.

2142015345440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142015345440 is an abundant number, since it is smaller than the sum of its proper divisors (3185562014560).

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

2142015345440 is a wasteful number, since it uses less digits than its factorization.

2142015345440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95722 (or 95714 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 35.

The spelling of 2142015345440 in words is "two trillion, one hundred forty-two billion, fifteen million, three hundred forty-five thousand, four hundred forty".