2628190378800 has 1200 divisors, whose sum is σ = 11429458563072. Its totient is φ = 565582694400.

The previous prime is 2628190378787. The next prime is 2628190378843. The reversal of 2628190378800 is 88730918262.

It is a happy number.

2628190378800 is a `hidden beast` number, since 2 + 6 + 2 + 8 + 190 + 378 + 80 + 0 = 666.

2628190378800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1200).

It is a super-4 number, since 4×2628190378800⁴ (a number of 51 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 260134549 + ... + 260144651.

Almost surely, 2^{2628190378800} is an apocalyptic number.

2628190378800 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 2628190378800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5714729281536).

2628190378800 is an abundant number, since it is smaller than the sum of its proper divisors (8801268184272).

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

2628190378800 is a wasteful number, since it uses less digits than its factorization.

2628190378800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10208 (or 10188 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 2628190378800 in words is "two trillion, six hundred twenty-eight billion, one hundred ninety million, three hundred seventy-eight thousand, eight hundred".