2001479040 has 384 divisors, whose sum is σ = 7790515200. Its totient is φ = 469094400.

The previous prime is 2001478961. The next prime is 2001479063. The reversal of 2001479040 is 409741002.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2001478995 and 2001479013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1963651 + ... + 1964669.

It is an arithmetic number, because the mean of its divisors is an integer number (20287800).

Almost surely, 2^2001479040 is an apocalyptic number.

2001479040 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 2001479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3895257600).

2001479040 is an abundant number, since it is smaller than the sum of its proper divisors (5789036160).

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

2001479040 is a wasteful number, since it uses less digits than its factorization.

2001479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1086 (or 1071 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 2001479040 is about 44737.8926638258. The cubic root of 2001479040 is about 1260.2315523048.

The spelling of 2001479040 in words is "two billion, one million, four hundred seventy-nine thousand, forty".