2334145040 has 60 divisors (see below), whose sum is σ = 5620636164. Its totient is φ = 901436928.

The previous prime is 2334144977. The next prime is 2334145081. The reversal of 2334145040 is 405414332.

It can be written as a sum of positive squares in 6 ways, for example, as 2027776 + 2332117264 = 1424^2 + 48292^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 49934 + ... + 84626.

Almost surely, 2^2334145040 is an apocalyptic number.

2334145040 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 2334145040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2810318082).

2334145040 is an abundant number, since it is smaller than the sum of its proper divisors (3286491124).

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

2334145040 is a wasteful number, since it uses less digits than its factorization.

2334145040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34764 (or 34729 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

The square root of 2334145040 is about 48312.9903856095. The cubic root of 2334145040 is about 1326.5061860993.

Adding to 2334145040 its reverse (405414332), we get a palindrome (2739559372).

The spelling of 2334145040 in words is "two billion, three hundred thirty-four million, one hundred forty-five thousand, forty".