2778916140 has 768 divisors, whose sum is σ = 11948912640. Its totient is φ = 517570560.

The previous prime is 2778916103. The next prime is 2778916157. The reversal of 2778916140 is 416198772.

It is a happy number.

2778916140 is a `hidden beast` number, since 27 + 7 + 8 + 9 + 1 + 614 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 28648572 + ... + 28648668.

It is an arithmetic number, because the mean of its divisors is an integer number (15558480).

Almost surely, 2^2778916140 is an apocalyptic number.

2778916140 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 2778916140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5974456320).

2778916140 is an abundant number, since it is smaller than the sum of its proper divisors (9169996500).

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

2778916140 is a wasteful number, since it uses less digits than its factorization.

2778916140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 2778916140 is about 52715.4260155412. The cubic root of 2778916140 is about 1405.9131089874.

The spelling of 2778916140 in words is "two billion, seven hundred seventy-eight million, nine hundred sixteen thousand, one hundred forty".