2906688960 has 336 divisors, whose sum is σ = 11797174272. Its totient is φ = 642816000.

The previous prime is 2906688959. The next prime is 2906688977. The reversal of 2906688960 is 698866092.

It is a tau number, because it is divible by the number of its divisors (336).

It is a junction number, because it is equal to n+sod(n) for n = 2906688897 and 2906688906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 622635 + ... + 627285.

Almost surely, 2^2906688960 is an apocalyptic number.

2906688960 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 2906688960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5898587136).

2906688960 is an abundant number, since it is smaller than the sum of its proper divisors (8890485312).

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

2906688960 is a wasteful number, since it uses less digits than its factorization.

2906688960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4712 (or 4699 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 2906688960 is about 53913.7177349142. The cubic root of 2906688960 is about 1427.1387127891.

The spelling of 2906688960 in words is "two billion, nine hundred six million, six hundred eighty-eight thousand, nine hundred sixty".