2328219886440 has 1024 divisors, whose sum is σ = 8926848000000. Its totient is φ = 483646464000.

The previous prime is 2328219886423. The next prime is 2328219886457. The reversal of 2328219886440 is 446889128232.

It is an interprime number because it is at equal distance from previous prime (2328219886423) and next prime (2328219886457).

It is a super-2 number, since 2×2328219886440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 255 ways as a sum of consecutive naturals, for example, 5692468956 + ... + 5692469364.

It is an arithmetic number, because the mean of its divisors is an integer number (8717625000).

Almost surely, 2^{2328219886440} is an apocalyptic number.

2328219886440 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 2328219886440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4463424000000).

2328219886440 is an abundant number, since it is smaller than the sum of its proper divisors (6598628113560).

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

2328219886440 is a wasteful number, since it uses less digits than its factorization.

2328219886440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 743 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 2328219886440 in words is "two trillion, three hundred twenty-eight billion, two hundred nineteen million, eight hundred eighty-six thousand, four hundred forty".