1906782258240 has 448 divisors, whose sum is σ = 7200790272000. Its totient is φ = 473546373120.

The previous prime is 1906782258209. The next prime is 1906782258257. The reversal of 1906782258240 is 428522876091.

1906782258240 is a `hidden beast` number, since 1 + 90 + 67 + 8 + 2 + 258 + 240 = 666.

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 63 ways as a sum of consecutive naturals, for example, 9587005 + ... + 9783875.

Almost surely, 2^{1906782258240} is an apocalyptic number.

1906782258240 is a gapful number since it is divisible by the number (10) 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 1906782258240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600395136000).

1906782258240 is an abundant number, since it is smaller than the sum of its proper divisors (5294008013760).

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

1906782258240 is a wasteful number, since it uses less digits than its factorization.

1906782258240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196975 (or 196959 counting only the distinct ones).

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

The spelling of 1906782258240 in words is "one trillion, nine hundred six billion, seven hundred eighty-two million, two hundred fifty-eight thousand, two hundred forty".