2257378044600 has 1152 divisors, whose sum is σ = 8847063751680. Its totient is φ = 464770252800.

The previous prime is 2257378044599. The next prime is 2257378044659. The reversal of 2257378044600 is 64408737522.

2257378044600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 2257378044600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 11458771702 + ... + 11458771898.

It is an arithmetic number, because the mean of its divisors is an integer number (7679742840).

Almost surely, 2^{2257378044600} is an apocalyptic number.

2257378044600 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 2257378044600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4423531875840).

2257378044600 is an abundant number, since it is smaller than the sum of its proper divisors (6589685707080).

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

2257378044600 is a wasteful number, since it uses less digits than its factorization.

2257378044600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 2257378044600 in words is "two trillion, two hundred fifty-seven billion, three hundred seventy-eight million, forty-four thousand, six hundred".