2278617139008 has 672 divisors, whose sum is σ = 7923310137600. Its totient is φ = 625326428160.

The previous prime is 2278617138961. The next prime is 2278617139009. The reversal of 2278617139008 is 8009317168722.

It is a happy number.

2278617139008 is a `hidden beast` number, since 2 + 2 + 7 + 8 + 617 + 13 + 9 + 0 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2278617139009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 518218666 + ... + 518223062.

Almost surely, 2^{2278617139008} is an apocalyptic number.

2278617139008 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 2278617139008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3961655068800).

2278617139008 is an abundant number, since it is smaller than the sum of its proper divisors (5644692998592).

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

2278617139008 is a wasteful number, since it uses less digits than its factorization.

2278617139008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4540 (or 4513 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 54.

The spelling of 2278617139008 in words is "two trillion, two hundred seventy-eight billion, six hundred seventeen million, one hundred thirty-nine thousand, eight".