2340016128 has 156 divisors (see below), whose sum is σ = 7012544448. Its totient is φ = 779673600.

The previous prime is 2340016127. The next prime is 2340016139. The reversal of 2340016128 is 8216100432.

2340016128 is a `hidden beast` number, since 2 + 3 + 40 + 0 + 1 + 612 + 8 = 666.

It is a super-2 number, since 2×2340016128² = 10951350958600224768, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340016127) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994153 + ... + 996503.

It is an arithmetic number, because the mean of its divisors is an integer number (44952208).

Almost surely, 2^2340016128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2340016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3506272224).

2340016128 is an abundant number, since it is smaller than the sum of its proper divisors (4672528320).

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

2340016128 is an frugal number, since it uses more digits than its factorization.

2340016128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 2340016128 is about 48373.7131921873. The cubic root of 2340016128 is about 1327.6174443637.

The spelling of 2340016128 in words is "two billion, three hundred forty million, sixteen thousand, one hundred twenty-eight".