2778253128 has 128 divisors (see below), whose sum is σ = 9124128000. Its totient is φ = 766402560.

The previous prime is 2778253097. The next prime is 2778253133. The reversal of 2778253128 is 8213528772.

2778253128 is a `hidden beast` number, since 27 + 78 + 2 + 531 + 28 = 666.

It is a super-3 number, since 3×2778253128³ (a number of 29 digits) contains 333 as substring.

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, 12168 + ... + 75528.

It is an arithmetic number, because the mean of its divisors is an integer number (71282250).

Almost surely, 2^2778253128 is an apocalyptic number.

2778253128 is a gapful number since it is divisible by the number (28) 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 2778253128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4562064000).

2778253128 is an abundant number, since it is smaller than the sum of its proper divisors (6345874872).

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

2778253128 is a wasteful number, since it uses less digits than its factorization.

2778253128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63412 (or 63402 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 2778253128 is about 52709.1370447288. The cubic root of 2778253128 is about 1405.8012894437.

The spelling of 2778253128 in words is "two billion, seven hundred seventy-eight million, two hundred fifty-three thousand, one hundred twenty-eight".