2778516000 has 384 divisors, whose sum is σ = 10897286400. Its totient is φ = 683596800.

The previous prime is 2778515983. The next prime is 2778516017. The reversal of 2778516000 is 6158772.

It is an interprime number because it is at equal distance from previous prime (2778515983) and next prime (2778516017).

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1403011 + ... + 1404989.

It is an arithmetic number, because the mean of its divisors is an integer number (28378350).

Almost surely, 2^2778516000 is an apocalyptic number.

2778516000 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 2778516000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5448643200).

2778516000 is an abundant number, since it is smaller than the sum of its proper divisors (8118770400).

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

2778516000 is a wasteful number, since it uses less digits than its factorization.

2778516000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 2002 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 2778516000 is about 52711.6305951542. The cubic root of 2778516000 is about 1405.8456259536.

The spelling of 2778516000 in words is "two billion, seven hundred seventy-eight million, five hundred sixteen thousand".