2001690000 has 300 divisors, whose sum is σ = 7312109376. Its totient is φ = 510048000.

The previous prime is 2001689993. The next prime is 2001690017. The reversal of 2001690000 is 961002.

It is a tau number, because it is divible by the number of its divisors (300).

It is a super-2 number, since 2×2001690000² = 8013525712200000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2069517 + ... + 2070483.

Almost surely, 2^2001690000 is an apocalyptic number.

2001690000 is a gapful number since it is divisible by the number (20) 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 2001690000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3656054688).

2001690000 is an abundant number, since it is smaller than the sum of its proper divisors (5310419376).

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

2001690000 is a wasteful number, since it uses less digits than its factorization.

2001690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 2001690000 is about 44740.2503345701. The cubic root of 2001690000 is about 1260.2758277469.

The spelling of 2001690000 in words is "two billion, one million, six hundred ninety thousand".