2340095940 has 288 divisors, whose sum is σ = 9121714560. Its totient is φ = 493661952.

The previous prime is 2340095921. The next prime is 2340095963. The reversal of 2340095940 is 495900432.

2340095940 is a `hidden beast` number, since 23 + 40 + 0 + 9 + 594 + 0 = 666.

2340095940 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

2340095940 is a modest number, since divided by 95940 gives 23400 as remainder.

It is a junction number, because it is equal to n+sod(n) for n = 2340095895 and 2340095904.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 340579 + ... + 347381.

It is an arithmetic number, because the mean of its divisors is an integer number (31672620).

Almost surely, 2^2340095940 is an apocalyptic number.

2340095940 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 2340095940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4560857280).

2340095940 is an abundant number, since it is smaller than the sum of its proper divisors (6781618620).

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

2340095940 is a wasteful number, since it uses less digits than its factorization.

2340095940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6848 (or 6833 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 2340095940 is about 48374.5381373301. The cubic root of 2340095940 is about 1327.6325380772.

The spelling of 2340095940 in words is "two billion, three hundred forty million, ninety-five thousand, nine hundred forty".