2001967440 has 320 divisors, whose sum is σ = 7113830400. Its totient is φ = 461260800.

The previous prime is 2001967423. The next prime is 2001967441. The reversal of 2001967440 is 447691002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2001967441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6048075 + ... + 6048405.

It is an arithmetic number, because the mean of its divisors is an integer number (22230720).

Almost surely, 2^2001967440 is an apocalyptic number.

2001967440 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 2001967440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3556915200).

2001967440 is an abundant number, since it is smaller than the sum of its proper divisors (5111862960).

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

2001967440 is a wasteful number, since it uses less digits than its factorization.

2001967440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 466 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 2001967440 is about 44743.3507909276. The cubic root of 2001967440 is about 1260.3340510104.

The spelling of 2001967440 in words is "two billion, one million, nine hundred sixty-seven thousand, four hundred forty".