2149916688 has 80 divisors (see below), whose sum is σ = 6183136000. Its totient is φ = 715236480.

The previous prime is 2149916683. The next prime is 2149916693. The reversal of 2149916688 is 8866199412.

It is an interprime number because it is at equal distance from previous prime (2149916683) and next prime (2149916693).

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2149916683) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 229113 + ... + 238311.

It is an arithmetic number, because the mean of its divisors is an integer number (77289200).

Almost surely, 2^2149916688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2149916688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3091568000).

2149916688 is an abundant number, since it is smaller than the sum of its proper divisors (4033219312).

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

2149916688 is a wasteful number, since it uses less digits than its factorization.

2149916688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9757 (or 9745 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 54.

The square root of 2149916688 is about 46367.1940923753. The cubic root of 2149916688 is about 1290.6462094965.

The spelling of 2149916688 in words is "two billion, one hundred forty-nine million, nine hundred sixteen thousand, six hundred eighty-eight".