2778013080 has 96 divisors (see below), whose sum is σ = 9118053360. Its totient is φ = 733459200.

The previous prime is 2778013039. The next prime is 2778013081. The reversal of 2778013080 is 803108772.

2778013080 is a `hidden beast` number, since 277 + 80 + 1 + 308 + 0 = 666.

It is a super-3 number, since 3×2778013080³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778013081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1842 + ... + 74561.

Almost surely, 2^2778013080 is an apocalyptic number.

2778013080 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 2778013080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4559026680).

2778013080 is an abundant number, since it is smaller than the sum of its proper divisors (6340040280).

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

2778013080 is a wasteful number, since it uses less digits than its factorization.

2778013080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76521 (or 76514 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 2778013080 is about 52706.8598950839. The cubic root of 2778013080 is about 1405.7608000316.

The spelling of 2778013080 in words is "two billion, seven hundred seventy-eight million, thirteen thousand, eighty".