2077216896 has 128 divisors (see below), whose sum is σ = 5691600000. Its totient is φ = 670924800.

The previous prime is 2077216891. The next prime is 2077216909. The reversal of 2077216896 is 6986127702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (2077216891) 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, 1662480 + ... + 1663728.

It is an arithmetic number, because the mean of its divisors is an integer number (44465625).

Almost surely, 2^2077216896 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 2077216896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2845800000).

2077216896 is an abundant number, since it is smaller than the sum of its proper divisors (3614383104).

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

2077216896 is a wasteful number, since it uses less digits than its factorization.

2077216896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1398 (or 1386 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 48.

The square root of 2077216896 is about 45576.4949946790. The cubic root of 2077216896 is about 1275.9312731792.

The spelling of 2077216896 in words is "two billion, seventy-seven million, two hundred sixteen thousand, eight hundred ninety-six".