2001549960 has 256 divisors, whose sum is σ = 6854400000. Its totient is φ = 519374592.

The previous prime is 2001549923. The next prime is 2001549973. The reversal of 2001549960 is 699451002.

2001549960 is a `hidden beast` number, since 20 + 0 + 1 + 549 + 96 + 0 = 666.

2001549960 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10057941 + ... + 10058139.

It is an arithmetic number, because the mean of its divisors is an integer number (26775000).

Almost surely, 2^2001549960 is an apocalyptic number.

2001549960 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 2001549960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3427200000).

2001549960 is an abundant number, since it is smaller than the sum of its proper divisors (4852850040).

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

2001549960 is a wasteful number, since it uses less digits than its factorization.

2001549960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 2001549960 is about 44738.6852734856. The cubic root of 2001549960 is about 1260.2464370582.

The spelling of 2001549960 in words is "two billion, one million, five hundred forty-nine thousand, nine hundred sixty".