2609561400 has 192 divisors, whose sum is σ = 8396129280. Its totient is φ = 669772800.

The previous prime is 2609561389. The next prime is 2609561407. The reversal of 2609561400 is 41659062.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2609561407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5709972 + ... + 5710428.

It is an arithmetic number, because the mean of its divisors is an integer number (43729840).

Almost surely, 2^2609561400 is an apocalyptic number.

2609561400 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 2609561400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4198064640).

2609561400 is an abundant number, since it is smaller than the sum of its proper divisors (5786567880).

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

2609561400 is a wasteful number, since it uses less digits than its factorization.

2609561400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 814 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2609561400 is about 51083.8663376217. The cubic root of 2609561400 is about 1376.7523926811.

The spelling of 2609561400 in words is "two billion, six hundred nine million, five hundred sixty-one thousand, four hundred".