2436353345340 has 144 divisors (see below), whose sum is σ = 7605129692160. Its totient is φ = 631016680320.

The previous prime is 2436353345299. The next prime is 2436353345399. The reversal of 2436353345340 is 435433536342.

2436353345340 is a `hidden beast` number, since 2 + 4 + 3 + 63 + 53 + 3 + 4 + 534 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9081 + ... + 2207439.

It is an arithmetic number, because the mean of its divisors is an integer number (52813400640).

Almost surely, 2^{2436353345340} is an apocalyptic number.

2436353345340 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 2436353345340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3802564846080).

2436353345340 is an abundant number, since it is smaller than the sum of its proper divisors (5168776346820).

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

2436353345340 is a wasteful number, since it uses less digits than its factorization.

2436353345340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198552 (or 2198547 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 45.

The spelling of 2436353345340 in words is "two trillion, four hundred thirty-six billion, three hundred fifty-three million, three hundred forty-five thousand, three hundred forty".