2307893140 has 288 divisors, whose sum is σ = 6577562880. Its totient is φ = 672731136.

The previous prime is 2307893099. The next prime is 2307893141. The reversal of 2307893140 is 413987032.

2307893140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2307893140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2307893141) 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, 7280262 + ... + 7280578.

It is an arithmetic number, because the mean of its divisors is an integer number (22838760).

Almost surely, 2^2307893140 is an apocalyptic number.

2307893140 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 2307893140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288781440).

2307893140 is an abundant number, since it is smaller than the sum of its proper divisors (4269669740).

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

2307893140 is a wasteful number, since it uses less digits than its factorization.

2307893140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 399 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 37.

The square root of 2307893140 is about 48040.5364249818. The cubic root of 2307893140 is about 1321.5143967464.

The spelling of 2307893140 in words is "two billion, three hundred seven million, eight hundred ninety-three thousand, one hundred forty".