2426451008832 has 168 divisors, whose sum is σ = 7041317302656. Its totient is φ = 798784057344.

The previous prime is 2426451008831. The next prime is 2426451008881. The reversal of 2426451008832 is 2388001546242.

2426451008832 is a `hidden beast` number, since 2 + 4 + 26 + 4 + 510 + 0 + 88 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2426451008831) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 162874408 + ... + 162889304.

It is an arithmetic number, because the mean of its divisors is an integer number (41912602992).

Almost surely, 2^{2426451008832} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2426451008832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3520658651328).

2426451008832 is an abundant number, since it is smaller than the sum of its proper divisors (4614866293824).

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

2426451008832 is a wasteful number, since it uses less digits than its factorization.

2426451008832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18405 (or 18392 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 2426451008832 in words is "two trillion, four hundred twenty-six billion, four hundred fifty-one million, eight thousand, eight hundred thirty-two".