2177979648 has 216 divisors, whose sum is σ = 6478776864. Its totient is φ = 645672960.

The previous prime is 2177979647. The next prime is 2177979689. The reversal of 2177979648 is 8469797712.

It is a junction number, because it is equal to n+sod(n) for n = 2177979591 and 2177979600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2177979647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9594511 + ... + 9594737.

Almost surely, 2^2177979648 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 2177979648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239388432).

2177979648 is an abundant number, since it is smaller than the sum of its proper divisors (4300797216).

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

2177979648 is a wasteful number, since it uses less digits than its factorization.

2177979648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 321 (or 276 counting only the distinct ones).

The product of its digits is 10668672, while the sum is 60.

The square root of 2177979648 is about 46668.8295117844. The cubic root of 2177979648 is about 1296.2375726644.

The spelling of 2177979648 in words is "two billion, one hundred seventy-seven million, nine hundred seventy-nine thousand, six hundred forty-eight".