2906948880 has 240 divisors, whose sum is σ = 10832253120. Its totient is φ = 692659200.

The previous prime is 2906948879. The next prime is 2906948897. The reversal of 2906948880 is 888496092.

2906948880 is a `hidden beast` number, since 29 + 0 + 69 + 488 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464170 + ... + 470390.

It is an arithmetic number, because the mean of its divisors is an integer number (45134388).

Almost surely, 2^2906948880 is an apocalyptic number.

2906948880 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 2906948880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5416126560).

2906948880 is an abundant number, since it is smaller than the sum of its proper divisors (7925304240).

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

2906948880 is a wasteful number, since it uses less digits than its factorization.

2906948880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6310 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The square root of 2906948880 is about 53916.1281992689. The cubic root of 2906948880 is about 1427.1812504030.

The spelling of 2906948880 in words is "two billion, nine hundred six million, nine hundred forty-eight thousand, eight hundred eighty".