2116687440 has 320 divisors, whose sum is σ = 7839498240. Its totient is φ = 462274560.

The previous prime is 2116687439. The next prime is 2116687451. The reversal of 2116687440 is 447866112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5051551 + ... + 5051969.

It is an arithmetic number, because the mean of its divisors is an integer number (24498432).

Almost surely, 2^2116687440 is an apocalyptic number.

2116687440 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 2116687440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3919749120).

2116687440 is an abundant number, since it is smaller than the sum of its proper divisors (5722810800).

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

2116687440 is a wasteful number, since it uses less digits than its factorization.

2116687440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The square root of 2116687440 is about 46007.4715671270. The cubic root of 2116687440 is about 1283.9622178108.

The spelling of 2116687440 in words is "two billion, one hundred sixteen million, six hundred eighty-seven thousand, four hundred forty".