1690165002240 has 2880 divisors, whose sum is σ = 7790648366592. Its totient is φ = 332188876800.

The previous prime is 1690165002187. The next prime is 1690165002247. The reversal of 1690165002240 is 422005610961.

1690165002240 is a `hidden beast` number, since 1 + 6 + 90 + 1 + 6 + 500 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

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 = 1690165002195 and 1690165002204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1690165002247) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41223536620 + ... + 41223536660.

Almost surely, 2^{1690165002240} is an apocalyptic number.

1690165002240 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 1690165002240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895324183296).

1690165002240 is an abundant number, since it is smaller than the sum of its proper divisors (6100483364352).

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

1690165002240 is a wasteful number, since it uses less digits than its factorization.

1690165002240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 1690165002240 in words is "one trillion, six hundred ninety billion, one hundred sixty-five million, two thousand, two hundred forty".