2127976440 has 128 divisors (see below), whose sum is σ = 6773760000. Its totient is φ = 533288448.

The previous prime is 2127976439. The next prime is 2127976441. The reversal of 2127976440 is 446797212.

It is an interprime number because it is at equal distance from previous prime (2127976439) and next prime (2127976441).

It is a junction number, because it is equal to n+sod(n) for n = 2127976392 and 2127976401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127976441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 285886 + ... + 293234.

It is an arithmetic number, because the mean of its divisors is an integer number (52920000).

Almost surely, 2^2127976440 is an apocalyptic number.

2127976440 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 2127976440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3386880000).

2127976440 is an abundant number, since it is smaller than the sum of its proper divisors (4645783560).

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

2127976440 is a wasteful number, since it uses less digits than its factorization.

2127976440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7509 (or 7505 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 2127976440 is about 46129.9950140903. The cubic root of 2127976440 is about 1286.2407713999.

The spelling of 2127976440 in words is "two billion, one hundred twenty-seven million, nine hundred seventy-six thousand, four hundred forty".