2127387840 has 112 divisors (see below), whose sum is σ = 6840199680. Its totient is φ = 560102400.

The previous prime is 2127387797. The next prime is 2127387841. The reversal of 2127387840 is 487837212.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 2127387792 and 2127387801.

It is not an unprimeable number, because it can be changed into a prime (2127387841) 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, 61815 + ... + 89865.

Almost surely, 2^2127387840 is an apocalyptic number.

2127387840 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 2127387840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3420099840).

2127387840 is an abundant number, since it is smaller than the sum of its proper divisors (4712811840).

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

2127387840 is a wasteful number, since it uses less digits than its factorization.

2127387840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28150 (or 28140 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 42.

The square root of 2127387840 is about 46123.6147759475. The cubic root of 2127387840 is about 1286.1221687191.

The spelling of 2127387840 in words is "two billion, one hundred twenty-seven million, three hundred eighty-seven thousand, eight hundred forty".