2127365640 has 128 divisors (see below), whose sum is σ = 7129036800. Its totient is φ = 564272640.

The previous prime is 2127365633. The next prime is 2127365651. The reversal of 2127365640 is 465637212.

2127365640 is a `hidden beast` number, since 2 + 1 + 2 + 7 + 3 + 6 + 5 + 640 = 666.

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 = 2127365595 and 2127365604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 201124 + ... + 211436.

It is an arithmetic number, because the mean of its divisors is an integer number (55695600).

Almost surely, 2^2127365640 is an apocalyptic number.

2127365640 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 2127365640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3564518400).

2127365640 is an abundant number, since it is smaller than the sum of its proper divisors (5001671160).

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

2127365640 is a wasteful number, since it uses less digits than its factorization.

2127365640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10524 (or 10514 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 2127365640 is about 46123.3741176857. The cubic root of 2127365640 is about 1286.1176949992.

The spelling of 2127365640 in words is "two billion, one hundred twenty-seven million, three hundred sixty-five thousand, six hundred forty".