2253541652406 has 24 divisors (see below), whose sum is σ = 5326552997064. Its totient is φ = 682891409760.

The previous prime is 2253541652399. The next prime is 2253541652419. The reversal of 2253541652406 is 6042561453522.

2253541652406 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 541 + 65 + 2 + 40 + 6 = 666.

2253541652406 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2253541652406³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5690761551 + ... + 5690761946.

It is an arithmetic number, because the mean of its divisors is an integer number (221939708211).

Almost surely, 2^{2253541652406} is an apocalyptic number.

2253541652406 is an abundant number, since it is smaller than the sum of its proper divisors (3073011344658).

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

2253541652406 is a wasteful number, since it uses less digits than its factorization.

2253541652406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11381523516 (or 11381523513 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 2253541652406 in words is "two trillion, two hundred fifty-three billion, five hundred forty-one million, six hundred fifty-two thousand, four hundred six".