2122415568 has 240 divisors, whose sum is σ = 7541005440. Its totient is φ = 559623168.

The previous prime is 2122415557. The next prime is 2122415579. The reversal of 2122415568 is 8655142212.

It is an interprime number because it is at equal distance from previous prime (2122415557) and next prime (2122415579).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 508980 + ... + 513132.

It is an arithmetic number, because the mean of its divisors is an integer number (31420856).

Almost surely, 2^2122415568 is an apocalyptic number.

2122415568 is a gapful number since it is divisible by the number (28) 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 2122415568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3770502720).

2122415568 is an abundant number, since it is smaller than the sum of its proper divisors (5418589872).

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

2122415568 is a wasteful number, since it uses less digits than its factorization.

2122415568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4203 (or 4178 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The square root of 2122415568 is about 46069.6816572461. The cubic root of 2122415568 is about 1285.1193837010.

The spelling of 2122415568 in words is "two billion, one hundred twenty-two million, four hundred fifteen thousand, five hundred sixty-eight".