2013984000 has 864 divisors, whose sum is σ = 8821053696. Its totient is φ = 447897600.

The previous prime is 2013983989. The next prime is 2013984017. The reversal of 2013984000 is 4893102.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×2013984000² = 8112263104512000000, which contains 22 as substring.

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 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 95 ways as a sum of consecutive naturals, for example, 54431982 + ... + 54432018.

Almost surely, 2^2013984000 is an apocalyptic number.

2013984000 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 2013984000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4410526848).

2013984000 is an abundant number, since it is smaller than the sum of its proper divisors (6807069696).

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

2013984000 is an frugal number, since it uses more digits than its factorization.

2013984000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 2013984000 is about 44877.4330816726. The cubic root of 2013984000 is about 1262.8506884499.

The spelling of 2013984000 in words is "two billion, thirteen million, nine hundred eighty-four thousand".