2127963504 has 80 divisors (see below), whose sum is σ = 5685223424. Its totient is φ = 685152000.

The previous prime is 2127963503. The next prime is 2127963511. The reversal of 2127963504 is 4053697212.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127963503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1089729 + ... + 1091679.

Almost surely, 2^2127963504 is an apocalyptic number.

2127963504 is a gapful number since it is divisible by the number (24) 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 2127963504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2842611712).

2127963504 is an abundant number, since it is smaller than the sum of its proper divisors (3557259920).

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

2127963504 is a wasteful number, since it uses less digits than its factorization.

2127963504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2726 (or 2720 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 39.

The square root of 2127963504 is about 46129.8548014190. The cubic root of 2127963504 is about 1286.2381650358.

The spelling of 2127963504 in words is "two billion, one hundred twenty-seven million, nine hundred sixty-three thousand, five hundred four".