2277761640 has 128 divisors (see below), whose sum is σ = 8519454720. Its totient is φ = 473299200.

The previous prime is 2277761627. The next prime is 2277761641. The reversal of 2277761640 is 461677722.

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

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 2277761592 and 2277761601.

It is not an unprimeable number, because it can be changed into a prime (2277761641) 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, 114016 + ... + 132495.

It is an arithmetic number, because the mean of its divisors is an integer number (66558240).

Almost surely, 2^2277761640 is an apocalyptic number.

2277761640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2277761640 is an abundant number, since it is smaller than the sum of its proper divisors (6241693080).

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

2277761640 is a wasteful number, since it uses less digits than its factorization.

2277761640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246543 (or 246539 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 42.

The square root of 2277761640 is about 47725.9011439281. The cubic root of 2277761640 is about 1315.7380215322.

The spelling of 2277761640 in words is "two billion, two hundred seventy-seven million, seven hundred sixty-one thousand, six hundred forty".