2334400040 has 128 divisors (see below), whose sum is σ = 6338304000. Its totient is φ = 755889408.

The previous prime is 2334400031. The next prime is 2334400043. The reversal of 2334400040 is 400044332.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 2334399985 and 2334400021.

It is not an unprimeable number, because it can be changed into a prime (2334400043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2781941 + ... + 2782779.

It is an arithmetic number, because the mean of its divisors is an integer number (49518000).

Almost surely, 2^2334400040 is an apocalyptic number.

2334400040 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 2334400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3169152000).

2334400040 is an abundant number, since it is smaller than the sum of its proper divisors (4003903960).

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

2334400040 is a wasteful number, since it uses less digits than its factorization.

2334400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1399 (or 1395 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 2334400040 is about 48315.6293553132. The cubic root of 2334400040 is about 1326.5544902613.

Adding to 2334400040 its reverse (400044332), we get a palindrome (2734444372).

The spelling of 2334400040 in words is "two billion, three hundred thirty-four million, four hundred thousand, forty".