2355005334240 has 144 divisors (see below), whose sum is σ = 8654644672128. Its totient is φ = 579693616128.

The previous prime is 2355005334151. The next prime is 2355005334257. The reversal of 2355005334240 is 424335005532.

2355005334240 is a `hidden beast` number, since 2 + 3 + 550 + 0 + 53 + 34 + 24 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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 = 2355005334195 and 2355005334204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62882064 + ... + 62919503.

It is an arithmetic number, because the mean of its divisors is an integer number (60101699112).

Almost surely, 2^{2355005334240} is an apocalyptic number.

2355005334240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2355005334240 is an abundant number, since it is smaller than the sum of its proper divisors (6299639337888).

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

2355005334240 is a wasteful number, since it uses less digits than its factorization.

2355005334240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125801601 (or 125801590 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 2355005334240 in words is "two trillion, three hundred fifty-five billion, five million, three hundred thirty-four thousand, two hundred forty".