2127968496 has 200 divisors, whose sum is σ = 6425012880. Its totient is φ = 681924096.

The previous prime is 2127968459. The next prime is 2127968503. The reversal of 2127968496 is 6948697212.

2127968496 is a `hidden beast` number, since 21 + 2 + 79 + 68 + 496 = 666.

It is a Smith number, since the sum of its digits (54) 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 (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9132796 + ... + 9133028.

Almost surely, 2^2127968496 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 2127968496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3212506440).

2127968496 is an abundant number, since it is smaller than the sum of its proper divisors (4297044384).

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

2127968496 is an frugal number, since it uses more digits than its factorization.

2127968496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 267 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 2127968496 is about 46129.9089095134. The cubic root of 2127968496 is about 1286.2391708325.

The spelling of 2127968496 in words is "two billion, one hundred twenty-seven million, nine hundred sixty-eight thousand, four hundred ninety-six".