2014987968 has 448 divisors, whose sum is σ = 7373721600. Its totient is φ = 526417920.

The previous prime is 2014987963. The next prime is 2014987991. The reversal of 2014987968 is 8697894102.

2014987968 is a `hidden beast` number, since 20 + 1 + 498 + 79 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×2014987968² = 8120353022369538048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (2014987963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8430793 + ... + 8431031.

It is an arithmetic number, because the mean of its divisors is an integer number (16459200).

Almost surely, 2^2014987968 is an apocalyptic number.

2014987968 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 2014987968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3686860800).

2014987968 is an abundant number, since it is smaller than the sum of its proper divisors (5358733632).

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

2014987968 is a wasteful number, since it uses less digits than its factorization.

2014987968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The square root of 2014987968 is about 44888.6173545143. The cubic root of 2014987968 is about 1263.0604966480.

The spelling of 2014987968 in words is "two billion, fourteen million, nine hundred eighty-seven thousand, nine hundred sixty-eight".