2142211130240 has 64 divisors (see below), whose sum is σ = 5121448229520. Its totient is φ = 856846848000.

The previous prime is 2142211130231. The next prime is 2142211130243. The reversal of 2142211130240 is 420311122412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142211130243) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17989295 + ... + 18107985.

Almost surely, 2^{2142211130240} is an apocalyptic number.

2142211130240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2142211130240 is an abundant number, since it is smaller than the sum of its proper divisors (2979237099280).

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

2142211130240 is a wasteful number, since it uses less digits than its factorization.

2142211130240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146911 (or 146899 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

Adding to 2142211130240 its reverse (420311122412), we get a palindrome (2562522252652).

The spelling of 2142211130240 in words is "two trillion, one hundred forty-two billion, two hundred eleven million, one hundred thirty thousand, two hundred forty".