2264878980 has 216 divisors, whose sum is σ = 8606975832. Its totient is φ = 477840384.

The previous prime is 2264878939. The next prime is 2264878981. The reversal of 2264878980 is 898784622.

2264878980 is a `hidden beast` number, since 2 + 2 + 6 + 487 + 89 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451584 + 2264427396 = 672^2 + 47586^2 .

It is not an unprimeable number, because it can be changed into a prime (2264878981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 104784 + ... + 124536.

Almost surely, 2^2264878980 is an apocalyptic number.

2264878980 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 2264878980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4303487916).

2264878980 is an abundant number, since it is smaller than the sum of its proper divisors (6342096852).

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

2264878980 is a wasteful number, since it uses less digits than its factorization.

2264878980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19795 (or 19783 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The square root of 2264878980 is about 47590.7446884371. The cubic root of 2264878980 is about 1313.2527948127.

The spelling of 2264878980 in words is "two billion, two hundred sixty-four million, eight hundred seventy-eight thousand, nine hundred eighty".