1890753642240 has 144 divisors (see below), whose sum is σ = 6079123764000. Its totient is φ = 500816920576.

The previous prime is 1890753642227. The next prime is 1890753642241. The reversal of 1890753642240 is 422463570981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1890753642241) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1080135 + ... + 2224454.

It is an arithmetic number, because the mean of its divisors is an integer number (42216137250).

It is a 1-persistent number, because it is pandigital, but 2⋅1890753642240 = 3781507284480 is not.

Almost surely, 2^{1890753642240} is an apocalyptic number.

1890753642240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1890753642240 is an abundant number, since it is smaller than the sum of its proper divisors (4188370121760).

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

1890753642240 is a wasteful number, since it uses less digits than its factorization.

1890753642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3304762 (or 3304748 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 1890753642240 in words is "one trillion, eight hundred ninety billion, seven hundred fifty-three million, six hundred forty-two thousand, two hundred forty".