2335749120 has 264 divisors, whose sum is σ = 8167873896. Its totient is φ = 617152512.

The previous prime is 2335749089. The next prime is 2335749127. The reversal of 2335749120 is 219475332.

It can be written as a sum of positive squares in 4 ways, for example, as 1289097216 + 1046651904 = 35904^2 + 32352^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2335749127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7971694 + ... + 7971986.

Almost surely, 2^2335749120 is an apocalyptic number.

2335749120 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 2335749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4083936948).

2335749120 is an abundant number, since it is smaller than the sum of its proper divisors (5832124776).

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

2335749120 is a wasteful number, since it uses less digits than its factorization.

2335749120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 2335749120 is about 48329.5884526239. The cubic root of 2335749120 is about 1326.8099853866.

The spelling of 2335749120 in words is "two billion, three hundred thirty-five million, seven hundred forty-nine thousand, one hundred twenty".