2128037268 has 144 divisors (see below), whose sum is σ = 5981399424. Its totient is φ = 586736640.

The previous prime is 2128037251. The next prime is 2128037269. The reversal of 2128037268 is 8627308212.

It is a super-2 number, since 2×2128037268² = 9057085227993807648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2128037269) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2482696 + ... + 2483552.

It is an arithmetic number, because the mean of its divisors is an integer number (41537496).

Almost surely, 2^2128037268 is an apocalyptic number.

2128037268 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 2128037268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990699712).

2128037268 is an abundant number, since it is smaller than the sum of its proper divisors (3853362156).

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

2128037268 is a wasteful number, since it uses less digits than its factorization.

2128037268 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1022 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2128037268 is about 46130.6543200939. The cubic root of 2128037268 is about 1286.2530269724.

The spelling of 2128037268 in words is "two billion, one hundred twenty-eight million, thirty-seven thousand, two hundred sixty-eight".