2468642427328 has 224 divisors, whose sum is σ = 6342318194688. Its totient is φ = 925199539200.

The previous prime is 2468642427319. The next prime is 2468642427379. The reversal of 2468642427328 is 8237242468642.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×2468642427328² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25463875 + ... + 25560637.

It is an arithmetic number, because the mean of its divisors is an integer number (28313920512).

Almost surely, 2^{2468642427328} is an apocalyptic number.

2468642427328 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 2468642427328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3171159097344).

2468642427328 is an abundant number, since it is smaller than the sum of its proper divisors (3873675767360).

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

2468642427328 is a wasteful number, since it uses less digits than its factorization.

2468642427328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96991 (or 96981 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 58.

The spelling of 2468642427328 in words is "two trillion, four hundred sixty-eight billion, six hundred forty-two million, four hundred twenty-seven thousand, three hundred twenty-eight".