2016714240 has 320 divisors, whose sum is σ = 7247750400. Its totient is φ = 531505152.

The previous prime is 2016714197. The next prime is 2016714241. The reversal of 2016714240 is 424176102.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2016714241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11266471 + ... + 11266649.

It is an arithmetic number, because the mean of its divisors is an integer number (22649220).

Almost surely, 2^2016714240 is an apocalyptic number.

2016714240 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 2016714240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3623875200).

2016714240 is an abundant number, since it is smaller than the sum of its proper divisors (5231036160).

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

2016714240 is a wasteful number, since it uses less digits than its factorization.

2016714240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2016714240 is about 44907.8416315013. The cubic root of 2016714240 is about 1263.4210883147.

The spelling of 2016714240 in words is "two billion, sixteen million, seven hundred fourteen thousand, two hundred forty".