2127414240 has 192 divisors, whose sum is σ = 8509777920. Its totient is φ = 486259200.

The previous prime is 2127414203. The next prime is 2127414241. The reversal of 2127414240 is 424147212.

2127414240 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 414 + 240 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2127414241) 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, 4936 + ... + 65415.

It is an arithmetic number, because the mean of its divisors is an integer number (44321760).

Almost surely, 2^2127414240 is an apocalyptic number.

2127414240 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 2127414240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4254888960).

2127414240 is an abundant number, since it is smaller than the sum of its proper divisors (6382363680).

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

2127414240 is a wasteful number, since it uses less digits than its factorization.

2127414240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70382 (or 70368 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 27.

The square root of 2127414240 is about 46123.9009625162. The cubic root of 2127414240 is about 1286.1274887778.

The spelling of 2127414240 in words is "two billion, one hundred twenty-seven million, four hundred fourteen thousand, two hundred forty".