2778508000 has 96 divisors (see below), whose sum is σ = 6909870240. Its totient is φ = 1097881600.

The previous prime is 2778507983. The next prime is 2778508001. The reversal of 2778508000 is 8058772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778508001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 327816 + ... + 336184.

It is an arithmetic number, because the mean of its divisors is an integer number (71977815).

Almost surely, 2^2778508000 is an apocalyptic number.

2778508000 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 2778508000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3454935120).

2778508000 is an abundant number, since it is smaller than the sum of its proper divisors (4131362240).

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

2778508000 is an equidigital number, since it uses as much as digits as its factorization.

2778508000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8477 (or 8459 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 37.

The square root of 2778508000 is about 52711.5547105186. The cubic root of 2778508000 is about 1405.8442766991.

The spelling of 2778508000 in words is "two billion, seven hundred seventy-eight million, five hundred eight thousand".