2534401055340 has 576 divisors, whose sum is σ = 10422764771328. Its totient is φ = 482253004800.

The previous prime is 2534401055311. The next prime is 2534401055371. The reversal of 2534401055340 is 435501044352.

2534401055340 is a `hidden beast` number, since 2 + 53 + 4 + 4 + 0 + 10 + 553 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2534401055295 and 2534401055304.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8572585 + ... + 8863295.

It is an arithmetic number, because the mean of its divisors is an integer number (18095077728).

Almost surely, 2^{2534401055340} is an apocalyptic number.

2534401055340 is a gapful number since it is divisible by the number (20) 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 2534401055340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5211382385664).

2534401055340 is an abundant number, since it is smaller than the sum of its proper divisors (7888363715988).

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

2534401055340 is a wasteful number, since it uses less digits than its factorization.

2534401055340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290798 (or 290793 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 2534401055340 its reverse (435501044352), we get a palindrome (2969902099692).

The spelling of 2534401055340 in words is "two trillion, five hundred thirty-four billion, four hundred one million, fifty-five thousand, three hundred forty".