2454109338408 has 256 divisors, whose sum is σ = 7840848691200. Its totient is φ = 626356074240.

The previous prime is 2454109338341. The next prime is 2454109338413. The reversal of 2454109338408 is 8048339014542.

It is a super-2 number, since 2×2454109338408² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11334735 + ... + 11549217.

It is an arithmetic number, because the mean of its divisors is an integer number (30628315200).

Almost surely, 2^{2454109338408} is an apocalyptic number.

2454109338408 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 2454109338408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3920424345600).

2454109338408 is an abundant number, since it is smaller than the sum of its proper divisors (5386739352792).

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

2454109338408 is a wasteful number, since it uses less digits than its factorization.

2454109338408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214569 (or 214539 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 51.

The spelling of 2454109338408 in words is "two trillion, four hundred fifty-four billion, one hundred nine million, three hundred thirty-eight thousand, four hundred eight".