2623420800 has 1296 divisors, whose sum is σ = 12863300580. Its totient is φ = 503193600.

The previous prime is 2623420729. The next prime is 2623420817. The reversal of 2623420800 is 80243262.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 161 ways as a sum of consecutive naturals, for example, 201801594 + ... + 201801606.

Almost surely, 2^2623420800 is an apocalyptic number.

2623420800 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 2623420800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6431650290).

2623420800 is an abundant number, since it is smaller than the sum of its proper divisors (10239879780).

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

2623420800 is a wasteful number, since it uses less digits than its factorization.

2623420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 2623420800 is about 51219.3400972719. The cubic root of 2623420800 is about 1379.1854045681.

The spelling of 2623420800 in words is "two billion, six hundred twenty-three million, four hundred twenty thousand, eight hundred".