2278039680 has 512 divisors, whose sum is σ = 9488448000. Its totient is φ = 505626624.

The previous prime is 2278039667. The next prime is 2278039691. The reversal of 2278039680 is 869308722.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4475266 + ... + 4475774.

It is an arithmetic number, because the mean of its divisors is an integer number (18532125).

Almost surely, 2^2278039680 is an apocalyptic number.

2278039680 is a gapful number since it is divisible by the number (20) 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 2278039680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4744224000).

2278039680 is an abundant number, since it is smaller than the sum of its proper divisors (7210408320).

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

2278039680 is a wasteful number, since it uses less digits than its factorization.

2278039680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 581 (or 563 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 2278039680 is about 47728.8139387519. The cubic root of 2278039680 is about 1315.7915555088.

The spelling of 2278039680 in words is "two billion, two hundred seventy-eight million, thirty-nine thousand, six hundred eighty".