2905651980 has 576 divisors, whose sum is σ = 11721024000. Its totient is φ = 590768640.

The previous prime is 2905651963. The next prime is 2905651981. The reversal of 2905651980 is 891565092.

2905651980 is a `hidden beast` number, since 2 + 9 + 0 + 56 + 519 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2905651981) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 19500946 + ... + 19501094.

It is an arithmetic number, because the mean of its divisors is an integer number (20349000).

Almost surely, 2^2905651980 is an apocalyptic number.

2905651980 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 2905651980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5860512000).

2905651980 is an abundant number, since it is smaller than the sum of its proper divisors (8815372020).

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

2905651980 is a wasteful number, since it uses less digits than its factorization.

2905651980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 2905651980 is about 53904.0998440749. The cubic root of 2905651980 is about 1426.9689789617.

The spelling of 2905651980 in words is "two billion, nine hundred five million, six hundred fifty-one thousand, nine hundred eighty".