2132122320240 has 160 divisors (see below), whose sum is σ = 7229478355200. Its totient is φ = 515514101760.

The previous prime is 2132122320233. The next prime is 2132122320247. The reversal of 2132122320240 is 420232212312.

It is an interprime number because it is at equal distance from previous prime (2132122320233) and next prime (2132122320247).

It is a super-2 number, since 2×2132122320240² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2132122320240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132122320247) 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, 64905 + ... + 2066024.

It is an arithmetic number, because the mean of its divisors is an integer number (45184239720).

Almost surely, 2^{2132122320240} is an apocalyptic number.

2132122320240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2132122320240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614739177600).

2132122320240 is an abundant number, since it is smaller than the sum of its proper divisors (5097356034960).

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

2132122320240 is a wasteful number, since it uses less digits than its factorization.

2132122320240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131335 (or 2131329 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 2132122320240 its reverse (420232212312), we get a palindrome (2552354532552).

The spelling of 2132122320240 in words is "two trillion, one hundred thirty-two billion, one hundred twenty-two million, three hundred twenty thousand, two hundred forty".