2775712128 has 512 divisors, whose sum is σ = 9870336000. Its totient is φ = 671514624.

The previous prime is 2775712117. The next prime is 2775712129. The reversal of 2775712128 is 8212175772.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 2775712128.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2775712129) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 19969083 + ... + 19969221.

It is an arithmetic number, because the mean of its divisors is an integer number (19278000).

Almost surely, 2^2775712128 is an apocalyptic number.

2775712128 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 2775712128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935168000).

2775712128 is an abundant number, since it is smaller than the sum of its proper divisors (7094623872).

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

2775712128 is a wasteful number, since it uses less digits than its factorization.

2775712128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 210 counting only the distinct ones).

The product of its digits is 109760, while the sum is 42.

The square root of 2775712128 is about 52685.0275505290. The cubic root of 2775712128 is about 1405.3725751286.

The spelling of 2775712128 in words is "two billion, seven hundred seventy-five million, seven hundred twelve thousand, one hundred twenty-eight".