1906875282240 has 336 divisors, whose sum is σ = 6968604726720. Its totient is φ = 477233233920.

The previous prime is 1906875282229. The next prime is 1906875282251. The reversal of 1906875282240 is 422825786091.

1906875282240 is a `hidden beast` number, since 1 + 90 + 6 + 8 + 7 + 528 + 2 + 24 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1906875282229) and next prime (1906875282251).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5692200 + ... + 6017880.

It is an arithmetic number, because the mean of its divisors is an integer number (20739895020).

Almost surely, 2^{1906875282240} is an apocalyptic number.

1906875282240 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 1906875282240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3484302363360).

1906875282240 is an abundant number, since it is smaller than the sum of its proper divisors (5061729444480).

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

1906875282240 is a wasteful number, since it uses less digits than its factorization.

1906875282240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325830 (or 325817 counting only the distinct ones).

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

The spelling of 1906875282240 in words is "one trillion, nine hundred six billion, eight hundred seventy-five million, two hundred eighty-two thousand, two hundred forty".