2600428800 has 432 divisors, whose sum is σ = 9416397312. Its totient is φ = 629145600.

The previous prime is 2600428771. The next prime is 2600428843. The reversal of 2600428800 is 88240062.

It is a happy number.

2600428800 is digitally balanced in base 2 and base 4, because in such bases 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 (30).

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, 10118272 + ... + 10118528.

It is an arithmetic number, because the mean of its divisors is an integer number (21797216).

Almost surely, 2^2600428800 is an apocalyptic number.

2600428800 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 2600428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4708198656).

2600428800 is an abundant number, since it is smaller than the sum of its proper divisors (6815968512).

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

2600428800 is a wasteful number, since it uses less digits than its factorization.

2600428800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 30.

The square root of 2600428800 is about 50994.3996925153. The cubic root of 2600428800 is about 1375.1444564483.

Adding to 2600428800 its reverse (88240062), we get a palindrome (2688668862).

The spelling of 2600428800 in words is "two billion, six hundred million, four hundred twenty-eight thousand, eight hundred".