2340936000 has 672 divisors, whose sum is σ = 9389461536. Its totient is φ = 552960000.

The previous prime is 2340935969. The next prime is 2340936001. The reversal of 2340936000 is 6390432.

It can be written as a sum of positive squares in 16 ways, for example, as 2242211904 + 98724096 = 47352^2 + 9936^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2340936001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38375970 + ... + 38376030.

It is an arithmetic number, because the mean of its divisors is an integer number (13972413).

Almost surely, 2^2340936000 is an apocalyptic number.

2340936000 is a gapful number since it is divisible by the number (20) 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 2340936000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4694730768).

2340936000 is an abundant number, since it is smaller than the sum of its proper divisors (7048525536).

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

2340936000 is a wasteful number, since it uses less digits than its factorization.

2340936000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 2340936000 is about 48383.2202318118. The cubic root of 2340936000 is about 1327.7913859176.

It can be divided in two parts, 2340 and 936000, that multiplied together give a square (2190240000 = 46800²).

The spelling of 2340936000 in words is "two billion, three hundred forty million, nine hundred thirty-six thousand".