2001364848 has 400 divisors, whose sum is σ = 7389169920. Its totient is φ = 509110272.

The previous prime is 2001364837. The next prime is 2001364873. The reversal of 2001364848 is 8484631002.

2001364848 is a `hidden beast` number, since 2 + 0 + 0 + 1 + 3 + 648 + 4 + 8 = 666.

It is a super-2 number, since 2×2001364848² = 8010922509620126208, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2929915 + ... + 2930597.

Almost surely, 2^2001364848 is an apocalyptic number.

2001364848 is a gapful number since it is divisible by the number (28) 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 2001364848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694584960).

2001364848 is an abundant number, since it is smaller than the sum of its proper divisors (5387805072).

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

2001364848 is a wasteful number, since it uses less digits than its factorization.

2001364848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746 (or 731 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2001364848 is about 44736.6164120623. The cubic root of 2001364848 is about 1260.2075848462.

The spelling of 2001364848 in words is "two billion, one million, three hundred sixty-four thousand, eight hundred forty-eight".