2581409600 has 336 divisors, whose sum is σ = 8272613376. Its totient is φ = 768768000.

The previous prime is 2581409549. The next prime is 2581409617. The reversal of 2581409600 is 69041852.

2581409600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2833145 + ... + 2834055.

Almost surely, 2^2581409600 is an apocalyptic number.

2581409600 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 2581409600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4136306688).

2581409600 is an abundant number, since it is smaller than the sum of its proper divisors (5691203776).

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

2581409600 is a wasteful number, since it uses less digits than its factorization.

2581409600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 974 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 35.

The square root of 2581409600 is about 50807.5742384932. The cubic root of 2581409600 is about 1371.7837068052.

The spelling of 2581409600 in words is "two billion, five hundred eighty-one million, four hundred nine thousand, six hundred".