2277071640 has 96 divisors (see below), whose sum is σ = 7450326000. Its totient is φ = 603129600.

The previous prime is 2277071639. The next prime is 2277071759. The reversal of 2277071640 is 461707722.

It is a happy number.

2277071640 is a `hidden beast` number, since 2 + 2 + 7 + 7 + 0 + 7 + 1 + 640 = 666.

2277071640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 2277071595 and 2277071604.

It is a congruent number.

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, 32415 + ... + 74865.

Almost surely, 2^2277071640 is an apocalyptic number.

2277071640 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 2277071640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3725163000).

2277071640 is an abundant number, since it is smaller than the sum of its proper divisors (5173254360).

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

2277071640 is a wasteful number, since it uses less digits than its factorization.

2277071640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42617 (or 42610 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 2277071640 is about 47718.6718172248. The cubic root of 2277071640 is about 1315.6051497241.

The spelling of 2277071640 in words is "two billion, two hundred seventy-seven million, seventy-one thousand, six hundred forty".