2778354240 has 224 divisors, whose sum is σ = 9094256640. Its totient is φ = 718288896.

The previous prime is 2778354233. The next prime is 2778354329. The reversal of 2778354240 is 424538772.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2778354192 and 2778354201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6271459 + ... + 6271901.

It is an arithmetic number, because the mean of its divisors is an integer number (40599360).

Almost surely, 2^2778354240 is an apocalyptic number.

2778354240 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 2778354240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547128320).

2778354240 is an abundant number, since it is smaller than the sum of its proper divisors (6315902400).

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

2778354240 is a wasteful number, since it uses less digits than its factorization.

2778354240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 649 (or 639 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The square root of 2778354240 is about 52710.0961865941. The cubic root of 2778354240 is about 1405.8183435240.

The spelling of 2778354240 in words is "two billion, seven hundred seventy-eight million, three hundred fifty-four thousand, two hundred forty".