2700112128 has 144 divisors (see below), whose sum is σ = 8239249536. Its totient is φ = 768983040.

The previous prime is 2700112123. The next prime is 2700112147. The reversal of 2700112128 is 8212110072.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 2700112098 and 2700112107.

It is not an unprimeable number, because it can be changed into a prime (2700112123) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2262700 + ... + 2263892.

Almost surely, 2^2700112128 is an apocalyptic number.

2700112128 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 2700112128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4119624768).

2700112128 is an abundant number, since it is smaller than the sum of its proper divisors (5539137408).

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

2700112128 is a wasteful number, since it uses less digits than its factorization.

2700112128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1640 (or 1626 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 2700112128 is about 51962.6031680477. The cubic root of 2700112128 is about 1392.4959258197.

The spelling of 2700112128 in words is "two billion, seven hundred million, one hundred twelve thousand, one hundred twenty-eight".