2606380800 has 432 divisors, whose sum is σ = 9246074880. Its totient is φ = 645120000.

The previous prime is 2606380757. The next prime is 2606380811. The reversal of 2606380800 is 80836062.

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, 17260725 + ... + 17260875.

Almost surely, 2^2606380800 is an apocalyptic number.

2606380800 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 2606380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4623037440).

2606380800 is an abundant number, since it is smaller than the sum of its proper divisors (6639694080).

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

2606380800 is a wasteful number, since it uses less digits than its factorization.

2606380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2606380800 is about 51052.7256862942. The cubic root of 2606380800 is about 1376.1928249694.

The spelling of 2606380800 in words is "two billion, six hundred six million, three hundred eighty thousand, eight hundred".