2778589440 has 288 divisors, whose sum is σ = 10757980800. Its totient is φ = 673505280.

The previous prime is 2778589391. The next prime is 2778589447. The reversal of 2778589440 is 449858772.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2778589447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 376506 + ... + 383814.

It is an arithmetic number, because the mean of its divisors is an integer number (37354100).

Almost surely, 2^2778589440 is an apocalyptic number.

2778589440 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 2778589440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5378990400).

2778589440 is an abundant number, since it is smaller than the sum of its proper divisors (7979391360).

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

2778589440 is a wasteful number, since it uses less digits than its factorization.

2778589440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7350 (or 7330 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The square root of 2778589440 is about 52712.3272110044. The cubic root of 2778589440 is about 1405.8580119891.

The spelling of 2778589440 in words is "two billion, seven hundred seventy-eight million, five hundred eighty-nine thousand, four hundred forty".