2421219187120 has 80 divisors (see below), whose sum is σ = 5879746529280. Its totient is φ = 925487177472.

The previous prime is 2421219187111. The next prime is 2421219187129. The reversal of 2421219187120 is 217819121242.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2421219187111) and next prime (2421219187129).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (2421219187129) 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 15 ways as a sum of consecutive naturals, for example, 1278517 + ... + 2545003.

It is an arithmetic number, because the mean of its divisors is an integer number (73496831616).

Almost surely, 2^{2421219187120} is an apocalyptic number.

2421219187120 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 2421219187120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2939873264640).

2421219187120 is an abundant number, since it is smaller than the sum of its proper divisors (3458527342160).

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

2421219187120 is a wasteful number, since it uses less digits than its factorization.

2421219187120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1267562 (or 1267556 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 40.

The spelling of 2421219187120 in words is "two trillion, four hundred twenty-one billion, two hundred nineteen million, one hundred eighty-seven thousand, one hundred twenty".