2254783119840 has 672 divisors, whose sum is σ = 8403314383296. Its totient is φ = 570711121920.

The previous prime is 2254783119751. The next prime is 2254783119859. The reversal of 2254783119840 is 489113874522.

2254783119840 is a `hidden beast` number, since 2 + 2 + 547 + 8 + 3 + 1 + 1 + 98 + 4 + 0 = 666.

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

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 111 ways as a sum of consecutive naturals, for example, 176936509 + ... + 176949251.

It is an arithmetic number, because the mean of its divisors is an integer number (12504932118).

Almost surely, 2^{2254783119840} is an apocalyptic number.

2254783119840 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 2254783119840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4201657191648).

2254783119840 is an abundant number, since it is smaller than the sum of its proper divisors (6148531263456).

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

2254783119840 is a wasteful number, since it uses less digits than its factorization.

2254783119840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12854 (or 12831 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 2254783119840 in words is "two trillion, two hundred fifty-four billion, seven hundred eighty-three million, one hundred nineteen thousand, eight hundred forty".