2534243451264 has 768 divisors, whose sum is σ = 9158724432000. Its totient is φ = 655830024192.

The previous prime is 2534243451253. The next prime is 2534243451269. The reversal of 2534243451264 is 4621543424352.

2534243451264 is a `hidden beast` number, since 2 + 5 + 3 + 42 + 4 + 34 + 512 + 64 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2534243451269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1482880042 + ... + 1482881750.

Almost surely, 2^{2534243451264} is an apocalyptic number.

2534243451264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2534243451264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4579362216000).

2534243451264 is an abundant number, since it is smaller than the sum of its proper divisors (6624480980736).

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

2534243451264 is a wasteful number, since it uses less digits than its factorization.

2534243451264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2155 (or 2140 counting only the distinct ones).

The product of its digits is 2764800, while the sum is 45.

The spelling of 2534243451264 in words is "two trillion, five hundred thirty-four billion, two hundred forty-three million, four hundred fifty-one thousand, two hundred sixty-four".