2778330240 has 512 divisors, whose sum is σ = 11405721600. Its totient is φ = 626061312.

The previous prime is 2778330227. The next prime is 2778330251. The reversal of 2778330240 is 420338772.

2778330240 is a `hidden beast` number, since 277 + 83 + 302 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2778330195 and 2778330204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12458769 + ... + 12458991.

It is an arithmetic number, because the mean of its divisors is an integer number (22276800).

Almost surely, 2^2778330240 is an apocalyptic number.

2778330240 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 2778330240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5702860800).

2778330240 is an abundant number, since it is smaller than the sum of its proper divisors (8627391360).

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

2778330240 is a wasteful number, since it uses less digits than its factorization.

2778330240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 361 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 2778330240 is about 52709.8685257324. The cubic root of 2778330240 is about 1405.8142955956.

The spelling of 2778330240 in words is "two billion, seven hundred seventy-eight million, three hundred thirty thousand, two hundred forty".