2016414972 has 288 divisors, whose sum is σ = 6318224640. Its totient is φ = 554273280.

The previous prime is 2016414971. The next prime is 2016414997. The reversal of 2016414972 is 2794146102.

It is a happy number.

2016414972 is a `hidden beast` number, since 2 + 0 + 1 + 641 + 4 + 9 + 7 + 2 = 666.

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

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016414971) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12370563 + ... + 12370725.

It is an arithmetic number, because the mean of its divisors is an integer number (21938280).

Almost surely, 2^2016414972 is an apocalyptic number.

2016414972 is a gapful number since it is divisible by the number (22) 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 2016414972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3159112320).

2016414972 is an abundant number, since it is smaller than the sum of its proper divisors (4301809668).

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

2016414972 is a wasteful number, since it uses less digits than its factorization.

2016414972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The square root of 2016414972 is about 44904.5094840151. The cubic root of 2016414972 is about 1263.3585905813.

The spelling of 2016414972 in words is "two billion, sixteen million, four hundred fourteen thousand, nine hundred seventy-two".