2778089440 has 96 divisors (see below), whose sum is σ = 7560290304. Its totient is φ = 944939520.

The previous prime is 2778089417. The next prime is 2778089441. The reversal of 2778089440 is 449808772.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2778089441) 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, 132475 + ... + 152005.

It is an arithmetic number, because the mean of its divisors is an integer number (78753024).

Almost surely, 2^2778089440 is an apocalyptic number.

2778089440 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 2778089440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3780145152).

2778089440 is an abundant number, since it is smaller than the sum of its proper divisors (4782200864).

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

2778089440 is a wasteful number, since it uses less digits than its factorization.

2778089440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19672 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

The square root of 2778089440 is about 52707.5842739923. The cubic root of 2778089440 is about 1405.7736800899.

The spelling of 2778089440 in words is "two billion, seven hundred seventy-eight million, eighty-nine thousand, four hundred forty".