2235690268416 has 864 divisors, whose sum is σ = 7542000910080. Its totient is φ = 629843558400.

The previous prime is 2235690268381. The next prime is 2235690268421. The reversal of 2235690268416 is 6148620965322.

2235690268416 is a `hidden beast` number, since 2 + 2 + 3 + 569 + 0 + 2 + 68 + 4 + 16 = 666.

It is a super-2 number, since 2×2235690268416² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9848855695 + ... + 9848855921.

It is an arithmetic number, because the mean of its divisors is an integer number (8729167720).

Almost surely, 2^{2235690268416} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2235690268416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3771000455040).

2235690268416 is an abundant number, since it is smaller than the sum of its proper divisors (5306310641664).

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

2235690268416 is a wasteful number, since it uses less digits than its factorization.

2235690268416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 2235690268416 in words is "two trillion, two hundred thirty-five billion, six hundred ninety million, two hundred sixty-eight thousand, four hundred sixteen".