2114240128 has 256 divisors, whose sum is σ = 5860512000. Its totient is φ = 732856320.

The previous prime is 2114240113. The next prime is 2114240147. The reversal of 2114240128 is 8210424112.

It is a super-2 number, since 2×2114240128² = 8940022637690912768, which contains 22 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, 3715428 + ... + 3715996.

It is an arithmetic number, because the mean of its divisors is an integer number (22892625).

Almost surely, 2^2114240128 is an apocalyptic number.

2114240128 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 2114240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2930256000).

2114240128 is an abundant number, since it is smaller than the sum of its proper divisors (3746271872).

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

2114240128 is a wasteful number, since it uses less digits than its factorization.

2114240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 25.

The square root of 2114240128 is about 45980.8669774723. The cubic root of 2114240128 is about 1283.4671883469.

It can be divided in two parts, 2114 and 240128, that added together give a palindrome (242242).

The spelling of 2114240128 in words is "two billion, one hundred fourteen million, two hundred forty thousand, one hundred twenty-eight".