2623780800 has 504 divisors, whose sum is σ = 9900452640. Its totient is φ = 658022400.

The previous prime is 2623780793. The next prime is 2623780801. The reversal of 2623780800 is 80873262.

It is a happy number.

2623780800 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2623780801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25473549 + ... + 25473651.

Almost surely, 2^2623780800 is an apocalyptic number.

2623780800 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 2623780800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4950226320).

2623780800 is an abundant number, since it is smaller than the sum of its proper divisors (7276671840).

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

2623780800 is a wasteful number, since it uses less digits than its factorization.

2623780800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 2623780800 is about 51222.8542742397. The cubic root of 2623780800 is about 1379.2484881111.

The spelling of 2623780800 in words is "two billion, six hundred twenty-three million, seven hundred eighty thousand, eight hundred".