2257861789920 has 384 divisors, whose sum is σ = 7831446239232. Its totient is φ = 542262067200.

The previous prime is 2257861789901. The next prime is 2257861789933. The reversal of 2257861789920 is 299871687522.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 250674057 + ... + 250683063.

It is an arithmetic number, because the mean of its divisors is an integer number (20394391248).

Almost surely, 2^{2257861789920} is an apocalyptic number.

2257861789920 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 2257861789920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3915723119616).

2257861789920 is an abundant number, since it is smaller than the sum of its proper divisors (5573584449312).

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

2257861789920 is a wasteful number, since it uses less digits than its factorization.

2257861789920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9474 (or 9466 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 66.

The spelling of 2257861789920 in words is "two trillion, two hundred fifty-seven billion, eight hundred sixty-one million, seven hundred eighty-nine thousand, nine hundred twenty".