2023311440 has 160 divisors (see below), whose sum is σ = 5243369760. Its totient is φ = 723394560.

The previous prime is 2023311431. The next prime is 2023311461. The reversal of 2023311440 is 441133202.

It can be written as a sum of positive squares in 16 ways, for example, as 1384435264 + 638876176 = 37208^2 + 25276^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33169010 + ... + 33169070.

It is an arithmetic number, because the mean of its divisors is an integer number (32771061).

Almost surely, 2^2023311440 is an apocalyptic number.

2023311440 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 2023311440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621684880).

2023311440 is an abundant number, since it is smaller than the sum of its proper divisors (3220058320).

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

2023311440 is an equidigital number, since it uses as much as digits as its factorization.

2023311440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2023311440 is about 44981.2343094317. The cubic root of 2023311440 is about 1264.7972491376.

Adding to 2023311440 its reverse (441133202), we get a palindrome (2464444642).

The spelling of 2023311440 in words is "two billion, twenty-three million, three hundred eleven thousand, four hundred forty".