2544034243050 has 144 divisors (see below), whose sum is σ = 6982125651072. Its totient is φ = 663810470400.

The previous prime is 2544034243039. The next prime is 2544034243061. The reversal of 2544034243050 is 503424304452.

2544034243050 is a `hidden beast` number, since 2 + 5 + 4 + 4 + 0 + 342 + 4 + 305 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (2544034243039) and next prime (2544034243061).

It is a super-2 number, since 2×2544034243050² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2544034242996 and 2544034243014.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 101867065 + ... + 101892035.

It is an arithmetic number, because the mean of its divisors is an integer number (48486983688).

Almost surely, 2^{2544034243050} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2544034243050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3491062825536).

2544034243050 is an abundant number, since it is smaller than the sum of its proper divisors (4438091408022).

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

2544034243050 is a wasteful number, since it uses less digits than its factorization.

2544034243050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29853 (or 29845 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The spelling of 2544034243050 in words is "two trillion, five hundred forty-four billion, thirty-four million, two hundred forty-three thousand, fifty".