2966780460 has 288 divisors, whose sum is σ = 10263939840. Its totient is φ = 636636672.

The previous prime is 2966780431. The next prime is 2966780461. The reversal of 2966780460 is 640876692.

2966780460 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 hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2966780461) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9663627 + ... + 9663933.

It is an arithmetic number, because the mean of its divisors is an integer number (35638680).

Almost surely, 2^2966780460 is an apocalyptic number.

2966780460 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 2966780460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5131969920).

2966780460 is an abundant number, since it is smaller than the sum of its proper divisors (7297159380).

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

2966780460 is a wasteful number, since it uses less digits than its factorization.

2966780460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 2966780460 is about 54468.1600570462. The cubic root of 2966780460 is about 1436.9063697337.

The spelling of 2966780460 in words is "two billion, nine hundred sixty-six million, seven hundred eighty thousand, four hundred sixty".