2254033806336 has 495 divisors, whose sum is σ = 7306803405363. Its totient is φ = 691819315200.

The previous prime is 2254033806331. The next prime is 2254033806361. The reversal of 2254033806336 is 6336083304522.

The square root of 2254033806336 is 1501344.

It is a perfect power (a square), and thus also a powerful number.

2254033806336 is a `hidden beast` number, since 2 + 2 + 5 + 4 + 0 + 3 + 3 + 8 + 0 + 633 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 190375142400 + 2063658663936 = 436320^2 + 1436544^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2254033806291 and 2254033806300.

It is not an unprimeable number, because it can be changed into a prime (2254033806331) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 5621031736 + ... + 5621032136.

Almost surely, 2^{2254033806336} is an apocalyptic number.

2254033806336 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

2254033806336 is the 1501344-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2254033806336

2254033806336 is an abundant number, since it is smaller than the sum of its proper divisors (5052769599027).

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

2254033806336 is an frugal number, since it uses more digits than its factorization.

2254033806336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 45.

The spelling of 2254033806336 in words is "two trillion, two hundred fifty-four billion, thirty-three million, eight hundred six thousand, three hundred thirty-six".