2406638078208 has 432 divisors, whose sum is σ = 8771067725056. Its totient is φ = 617561210880.

The previous prime is 2406638078203. The next prime is 2406638078261. The reversal of 2406638078208 is 8028708366042.

It is a super-3 number, since 3×2406638078208³ (a number of 38 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (2406638078203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7602453 + ... + 7912683.

Almost surely, 2^{2406638078208} is an apocalyptic number.

2406638078208 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 2406638078208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4385533862528).

2406638078208 is an abundant number, since it is smaller than the sum of its proper divisors (6364429646848).

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

2406638078208 is a wasteful number, since it uses less digits than its factorization.

2406638078208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310310 (or 310293 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 2406638078208 in words is "two trillion, four hundred six billion, six hundred thirty-eight million, seventy-eight thousand, two hundred eight".