2001734640 has 160 divisors (see below), whose sum is σ = 6913843200. Its totient is φ = 532327680.

The previous prime is 2001734639. The next prime is 2001734659. The reversal of 2001734640 is 464371002.

2001734640 is a `hidden beast` number, since 2 + 0 + 0 + 17 + 3 + 4 + 640 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 947185 + ... + 949295.

It is an arithmetic number, because the mean of its divisors is an integer number (43211520).

Almost surely, 2^2001734640 is an apocalyptic number.

2001734640 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 2001734640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456921600).

2001734640 is an abundant number, since it is smaller than the sum of its proper divisors (4912108560).

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

2001734640 is a wasteful number, since it uses less digits than its factorization.

2001734640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2572 (or 2560 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 2001734640 is about 44740.7492114292. The cubic root of 2001734640 is about 1260.2851962130.

The spelling of 2001734640 in words is "two billion, one million, seven hundred thirty-four thousand, six hundred forty".