2610220800 has 432 divisors, whose sum is σ = 9963862272. Its totient is φ = 594739200.

The previous prime is 2610220763. The next prime is 2610220819. The reversal of 2610220800 is 80220162.

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, 3590037 + ... + 3590763.

It is an arithmetic number, because the mean of its divisors is an integer number (23064496).

Almost surely, 2^2610220800 is an apocalyptic number.

2610220800 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 2610220800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4981931136).

2610220800 is an abundant number, since it is smaller than the sum of its proper divisors (7353641472).

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

2610220800 is a wasteful number, since it uses less digits than its factorization.

2610220800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 784 (or 765 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 2610220800 is about 51090.3200224857. The cubic root of 2610220800 is about 1376.8683449982.

Adding to 2610220800 its reverse (80220162), we get a palindrome (2690440962).

The spelling of 2610220800 in words is "two billion, six hundred ten million, two hundred twenty thousand, eight hundred".