1990145052 has 240 divisors, whose sum is σ = 6393074688. Its totient is φ = 526901760.

The previous prime is 1990145051. The next prime is 1990145141. The reversal of 1990145052 is 2505410991.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1990144998 and 1990145016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1990145051) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 2737113 + ... + 2737839.

Almost surely, 2^1990145052 is an apocalyptic number.

1990145052 is a gapful number since it is divisible by the number (12) 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 1990145052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3196537344).

1990145052 is an abundant number, since it is smaller than the sum of its proper divisors (4402929636).

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

1990145052 is a wasteful number, since it uses less digits than its factorization.

1990145052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 838 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The square root of 1990145052 is about 44611.0418170210. The cubic root of 1990145052 is about 1257.8482321674.

The spelling of 1990145052 in words is "one billion, nine hundred ninety million, one hundred forty-five thousand, fifty-two".