2142324313140 has 96 divisors (see below), whose sum is σ = 6567115201920. Its totient is φ = 517503078400.

The previous prime is 2142324313121. The next prime is 2142324313147. The reversal of 2142324313140 is 413134232412.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2142324313098 and 2142324313107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142324313147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5590245 + ... + 5961164.

It is an arithmetic number, because the mean of its divisors is an integer number (68407450020).

Almost surely, 2^{2142324313140} is an apocalyptic number.

2142324313140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142324313140 is an abundant number, since it is smaller than the sum of its proper divisors (4424790888780).

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

2142324313140 is a wasteful number, since it uses less digits than its factorization.

2142324313140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11551713 (or 11551711 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2142324313140 its reverse (413134232412), we get a palindrome (2555458545552).

The spelling of 2142324313140 in words is "two trillion, one hundred forty-two billion, three hundred twenty-four million, three hundred thirteen thousand, one hundred forty".