2313001640 has 64 divisors (see below), whose sum is σ = 5516534160. Its totient is φ = 869806080.

The previous prime is 2313001619. The next prime is 2313001643. The reversal of 2313001640 is 461003132.

2313001640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 2087941636 + 225060004 = 45694^2 + 15002^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (2313001643) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 986870 + ... + 989210.

Almost surely, 2^2313001640 is an apocalyptic number.

2313001640 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 2313001640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2758267080).

2313001640 is an abundant number, since it is smaller than the sum of its proper divisors (3203532520).

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

2313001640 is a wasteful number, since it uses less digits than its factorization.

2313001640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3822 (or 3818 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 2313001640 is about 48093.6756757061. The cubic root of 2313001640 is about 1322.4887314813.

Adding to 2313001640 its reverse (461003132), we get a palindrome (2774004772).

The spelling of 2313001640 in words is "two billion, three hundred thirteen million, one thousand, six hundred forty".