2581034400 has 432 divisors, whose sum is σ = 10543950144. Its totient is φ = 581898240.

The previous prime is 2581034399. The next prime is 2581034411. The reversal of 2581034400 is 44301852.

2581034400 is a `hidden beast` number, since 258 + 1 + 0 + 3 + 4 + 400 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4182892 + ... + 4183508.

It is an arithmetic number, because the mean of its divisors is an integer number (24407292).

Almost surely, 2^2581034400 is an apocalyptic number.

2581034400 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 2581034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5271975072).

2581034400 is an abundant number, since it is smaller than the sum of its proper divisors (7962915744).

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

2581034400 is a wasteful number, since it uses less digits than its factorization.

2581034400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 2581034400 is about 50803.8817414575. The cubic root of 2581034400 is about 1371.7172420611.

The spelling of 2581034400 in words is "two billion, five hundred eighty-one million, thirty-four thousand, four hundred".