2966261760 has 936 divisors, whose sum is σ = 13595749440. Its totient is φ = 583925760.

The previous prime is 2966261731. The next prime is 2966261761. The reversal of 2966261760 is 671626692.

2966261760 is a `hidden beast` number, since 2 + 9 + 6 + 626 + 17 + 6 + 0 = 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 (2966261761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 156119031 + ... + 156119049.

Almost surely, 2^2966261760 is an apocalyptic number.

2966261760 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 2966261760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797874720).

2966261760 is an abundant number, since it is smaller than the sum of its proper divisors (10629487680).

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

2966261760 is a wasteful number, since it uses less digits than its factorization.

2966261760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 2966261760 is about 54463.3983515535. The cubic root of 2966261760 is about 1436.8226238702.

The spelling of 2966261760 in words is "two billion, nine hundred sixty-six million, two hundred sixty-one thousand, seven hundred sixty".