2277978160 has 80 divisors (see below), whose sum is σ = 5462087904. Its totient is φ = 883091456.

The previous prime is 2277978151. The next prime is 2277978169. The reversal of 2277978160 is 618797722.

It is an interprime number because it is at equal distance from previous prime (2277978151) and next prime (2277978169).

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2277978169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 348684 + ... + 355156.

Almost surely, 2^2277978160 is an apocalyptic number.

2277978160 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 2277978160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2731043952).

2277978160 is an abundant number, since it is smaller than the sum of its proper divisors (3184109744).

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

2277978160 is a wasteful number, since it uses less digits than its factorization.

2277978160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622 (or 6616 counting only the distinct ones).

The product of its (nonzero) digits is 592704, while the sum is 49.

The square root of 2277978160 is about 47728.1694599741. The cubic root of 2277978160 is about 1315.7797107890.

The spelling of 2277978160 in words is "two billion, two hundred seventy-seven million, nine hundred seventy-eight thousand, one hundred sixty".