2534436344352 has 144 divisors (see below), whose sum is σ = 7385092940736. Its totient is φ = 760406592000.

The previous prime is 2534436344311. The next prime is 2534436344437.

2534436344352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93093 + ... + 2253339.

It is an arithmetic number, because the mean of its divisors is an integer number (51285367644).

Almost surely, 2^{2534436344352} is an apocalyptic number.

2534436344352 is a gapful number since it is divisible by the number (22) 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 2534436344352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692546470368).

2534436344352 is an abundant number, since it is smaller than the sum of its proper divisors (4850656596384).

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

2534436344352 is a wasteful number, since it uses less digits than its factorization.

2534436344352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2160383 (or 2160364 counting only the distinct ones).

The product of its digits is 12441600, while the sum is 48.

The spelling of 2534436344352 in words is "two trillion, five hundred thirty-four billion, four hundred thirty-six million, three hundred forty-four thousand, three hundred fifty-two".