2278004080352 has 768 divisors, whose sum is σ = 6398764646400. Its totient is φ = 769886208000.

The previous prime is 2278004080349. The next prime is 2278004080379. The reversal of 2278004080352 is 2530804008722.

It is a happy number.

It is a super-2 number, since 2×2278004080352² (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 127 ways as a sum of consecutive naturals, for example, 5569691924 + ... + 5569692332.

It is an arithmetic number, because the mean of its divisors is an integer number (8331724800).

Almost surely, 2^{2278004080352} is an apocalyptic number.

2278004080352 is a gapful number since it is divisible by the number (22) 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 2278004080352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3199382323200).

2278004080352 is an abundant number, since it is smaller than the sum of its proper divisors (4120760566048).

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

2278004080352 is a wasteful number, since it uses less digits than its factorization.

2278004080352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 41.

The spelling of 2278004080352 in words is "two trillion, two hundred seventy-eight billion, four million, eighty thousand, three hundred fifty-two".