2127882240 has 288 divisors, whose sum is σ = 8049132000. Its totient is φ = 515604480.

The previous prime is 2127882233. The next prime is 2127882269. The reversal of 2127882240 is 422887212.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2127882195 and 2127882204.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1012711 + ... + 1014809.

It is an arithmetic number, because the mean of its divisors is an integer number (27948375).

Almost surely, 2^2127882240 is an apocalyptic number.

2127882240 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 2127882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4024566000).

2127882240 is an abundant number, since it is smaller than the sum of its proper divisors (5921249760).

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

2127882240 is a wasteful number, since it uses less digits than its factorization.

2127882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2127882240 is about 46128.9739751493. The cubic root of 2127882240 is about 1286.2217916051.

The spelling of 2127882240 in words is "two billion, one hundred twenty-seven million, eight hundred eighty-two thousand, two hundred forty".