2534269050144 has 720 divisors, whose sum is σ = 8541064540008. Its totient is φ = 732234940416.

The previous prime is 2534269050139. The next prime is 2534269050211. The reversal of 2534269050144 is 4410509624352.

2534269050144 is a `hidden beast` number, since 2 + 5 + 3 + 42 + 69 + 0 + 501 + 44 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1204260422544 + 1330008627600 = 1097388^2 + 1153260^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2534269050144.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1048517224 + ... + 1048519640.

Almost surely, 2^{2534269050144} is an apocalyptic number.

2534269050144 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 2534269050144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4270532270004).

2534269050144 is an abundant number, since it is smaller than the sum of its proper divisors (6006795489864).

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

2534269050144 is a wasteful number, since it uses less digits than its factorization.

2534269050144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2547 (or 2501 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2534269050144 in words is "two trillion, five hundred thirty-four billion, two hundred sixty-nine million, fifty thousand, one hundred forty-four".