2335040136 has 320 divisors, whose sum is σ = 7786437120. Its totient is φ = 644474880.

The previous prime is 2335040111. The next prime is 2335040177. The reversal of 2335040136 is 6310405332.

It is a happy number.

2335040136 is a `hidden beast` number, since 23 + 3 + 504 + 0 + 136 = 666.

It is a super-3 number, since 3×2335040136³ (a number of 29 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10470921 + ... + 10471143.

It is an arithmetic number, because the mean of its divisors is an integer number (24332616).

Almost surely, 2^2335040136 is an apocalyptic number.

2335040136 is a gapful number since it is divisible by the number (26) 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 2335040136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3893218560).

2335040136 is an abundant number, since it is smaller than the sum of its proper divisors (5451396984).

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

2335040136 is a wasteful number, since it uses less digits than its factorization.

2335040136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2335040136 is about 48322.2530103885. The cubic root of 2335040136 is about 1326.6757269259.

Adding to 2335040136 its reverse (6310405332), we get a palindrome (8645445468).

The spelling of 2335040136 in words is "two billion, three hundred thirty-five million, forty thousand, one hundred thirty-six".