2355635440 has 40 divisors (see below), whose sum is σ = 5653531008. Its totient is φ = 911857920.

The previous prime is 2355635419. The next prime is 2355635453. The reversal of 2355635440 is 445365532.

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 2355635440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 472447 + ... + 477406.

Almost surely, 2^2355635440 is an apocalyptic number.

2355635440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355635440 is an abundant number, since it is smaller than the sum of its proper divisors (3297895568).

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

2355635440 is a wasteful number, since it uses less digits than its factorization.

2355635440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949897 (or 949891 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 37.

The square root of 2355635440 is about 48534.8888944850. Note that the first 4 decimals coincide. The cubic root of 2355635440 is about 1330.5647892404.

It can be divided in two parts, 23556 and 35440, that added together give a triangular number (58996 = T₃₄₃).

The spelling of 2355635440 in words is "two billion, three hundred fifty-five million, six hundred thirty-five thousand, four hundred forty".