2001767040 has 1024 divisors, whose sum is σ = 9321984000. Its totient is φ = 394149888.

The previous prime is 2001766969. The next prime is 2001767041. The reversal of 2001767040 is 407671002.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2001766995 and 2001767013.

It is not an unprimeable number, because it can be changed into a prime (2001767041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 29877087 + ... + 29877153.

It is an arithmetic number, because the mean of its divisors is an integer number (9103500).

Almost surely, 2^2001767040 is an apocalyptic number.

2001767040 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 2001767040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660992000).

2001767040 is an abundant number, since it is smaller than the sum of its proper divisors (7320216960).

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

2001767040 is a wasteful number, since it uses less digits than its factorization.

2001767040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2001767040 is about 44741.1112959882. Note that the first 3 decimals coincide. The cubic root of 2001767040 is about 1260.2919958189.

The spelling of 2001767040 in words is "two billion, one million, seven hundred sixty-seven thousand, forty".