2953666560 has 336 divisors, whose sum is σ = 10420374384. Its totient is φ = 710148096.

The previous prime is 2953666553. The next prime is 2953666571. The reversal of 2953666560 is 656663592.

It is a super-2 number, since 2×2953666560² = 17448292295324467200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 68689899 + ... + 68689941.

It is an arithmetic number, because the mean of its divisors is an integer number (31013019).

Almost surely, 2^2953666560 is an apocalyptic number.

2953666560 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 2953666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5210187192).

2953666560 is an abundant number, since it is smaller than the sum of its proper divisors (7466707824).

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

2953666560 is an equidigital number, since it uses as much as digits as its factorization.

2953666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 1749600, while the sum is 48.

The square root of 2953666560 is about 54347.6453951779. The cubic root of 2953666560 is about 1434.7860826298.

The spelling of 2953666560 in words is "two billion, nine hundred fifty-three million, six hundred sixty-six thousand, five hundred sixty".