2607168960 has 672 divisors, whose sum is σ = 10681362432. Its totient is φ = 576552960.

The previous prime is 2607168959. The next prime is 2607168973. The reversal of 2607168960 is 698617062.

2607168960 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25312269 + ... + 25312371.

Almost surely, 2^2607168960 is an apocalyptic number.

2607168960 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 2607168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5340681216).

2607168960 is an abundant number, since it is smaller than the sum of its proper divisors (8074193472).

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

2607168960 is a wasteful number, since it uses less digits than its factorization.

2607168960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 2607168960 is about 51060.4441813817. Note that the first 3 decimals coincide. The cubic root of 2607168960 is about 1376.3315295443.

The spelling of 2607168960 in words is "two billion, six hundred seven million, one hundred sixty-eight thousand, nine hundred sixty".