2534400401300 has 72 divisors (see below), whose sum is σ = 5595280004160. Its totient is φ = 996225350400.

The previous prime is 2534400401297. The next prime is 2534400401329. The reversal of 2534400401300 is 31040044352.

It is a self number, because there is not a number n which added to its sum of digits gives 2534400401300.

It is a congruent number.

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, 1598336 + ... + 2761064.

It is an arithmetic number, because the mean of its divisors is an integer number (77712222280).

Almost surely, 2^{2534400401300} is an apocalyptic number.

2534400401300 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 2534400401300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2797640002080).

2534400401300 is an abundant number, since it is smaller than the sum of its proper divisors (3060879602860).

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

2534400401300 is a wasteful number, since it uses less digits than its factorization.

2534400401300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163121 (or 1163114 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 26.

Adding to 2534400401300 its reverse (31040044352), we get a palindrome (2565440445652).

The spelling of 2534400401300 in words is "two trillion, five hundred thirty-four billion, four hundred million, four hundred one thousand, three hundred".