2235755340 has 864 divisors, whose sum is σ = 9536776704. Its totient is φ = 418037760.

The previous prime is 2235755321. The next prime is 2235755387. The reversal of 2235755340 is 435575322.

2235755340 is a `hidden beast` number, since 22 + 35 + 75 + 534 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 2235755295 and 2235755304.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 60425802 + ... + 60425838.

It is an arithmetic number, because the mean of its divisors is an integer number (11037936).

Almost surely, 2^2235755340 is an apocalyptic number.

2235755340 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 2235755340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4768388352).

2235755340 is an abundant number, since it is smaller than the sum of its proper divisors (7301021364).

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

2235755340 is a wasteful number, since it uses less digits than its factorization.

2235755340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 36.

The square root of 2235755340 is about 47283.7745955206. The cubic root of 2235755340 is about 1307.5995393316.

The spelling of 2235755340 in words is "two billion, two hundred thirty-five million, seven hundred fifty-five thousand, three hundred forty".