2754443825406 has 720 divisors, whose sum is σ = 8113308572160. Its totient is φ = 695317633920.

The previous prime is 2754443825377. The next prime is 2754443825429. The reversal of 2754443825406 is 6045283444572.

It is a happy number.

2754443825406 is a `hidden beast` number, since 2 + 7 + 54 + 4 + 43 + 8 + 2 + 540 + 6 = 666.

It is a super-2 number, since 2×2754443825406² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 4449828165 + ... + 4449828783.

It is an arithmetic number, because the mean of its divisors is an integer number (11268484128).

Almost surely, 2^{2754443825406} is an apocalyptic number.

2754443825406 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2754443825406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4056654286080).

2754443825406 is an abundant number, since it is smaller than the sum of its proper divisors (5358864746754).

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

2754443825406 is a wasteful number, since it uses less digits than its factorization.

2754443825406 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 25804800, while the sum is 54.

The spelling of 2754443825406 in words is "two trillion, seven hundred fifty-four billion, four hundred forty-three million, eight hundred twenty-five thousand, four hundred six".