2778790080 has 448 divisors, whose sum is σ = 10649760768. Its totient is φ = 605552640.

The previous prime is 2778790061. The next prime is 2778790111. The reversal of 2778790080 is 800978772.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4128624 + ... + 4129296.

Almost surely, 2^2778790080 is an apocalyptic number.

2778790080 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 2778790080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324880384).

2778790080 is an abundant number, since it is smaller than the sum of its proper divisors (7870970688).

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

2778790080 is a wasteful number, since it uses less digits than its factorization.

2778790080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 744 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 48.

The square root of 2778790080 is about 52714.2303367886. The cubic root of 2778790080 is about 1405.8918498492.

The spelling of 2778790080 in words is "two billion, seven hundred seventy-eight million, seven hundred ninety thousand, eighty".