2585342400 has 168 divisors, whose sum is σ = 8609746560. Its totient is φ = 679050240.

The previous prime is 2585342381. The next prime is 2585342413. The reversal of 2585342400 is 42435852.

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, 317581 + ... + 325619.

Almost surely, 2^2585342400 is an apocalyptic number.

2585342400 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 2585342400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4304873280).

2585342400 is an abundant number, since it is smaller than the sum of its proper divisors (6024404160).

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

2585342400 is a wasteful number, since it uses less digits than its factorization.

2585342400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8131 (or 8116 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

The square root of 2585342400 is about 50846.2623995117. The cubic root of 2585342400 is about 1372.4799947980.

The spelling of 2585342400 in words is "two billion, five hundred eighty-five million, three hundred forty-two thousand, four hundred".